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Finding the Fourth Proportional to 65,084.81, 97,627.23 and 33,980.81

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Solution

The fourth proportional to 65,084.81, 97,627.23 and 33,980.81 is: 50,971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,084.81 : 97,627.23 = 33,980.81 : x
  2. Step 2: Convert to fraction form
    65,084.81/97,627.23 = 33,980.81/x
  3. Step 3: Cross multiply
    65,084.81x = 97,627.23 × 33,980.81
  4. Step 4: Simplify right side
    65,084.81x = 3,317,451,865.32
  5. Step 5: Solve for x
    x = 3,317,451,865.32/65,084.81
  6. Step 6: Final answer
    x = 50,971.22

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.