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Finding the Fourth Proportional to 65,082.81, 97,624.21 and 33,978.81

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Solution

The fourth proportional to 65,082.81, 97,624.21 and 33,978.81 is: 50,968.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,082.81 : 97,624.21 = 33,978.81 : x
  2. Step 2: Convert to fraction form
    65,082.81/97,624.21 = 33,978.81/x
  3. Step 3: Cross multiply
    65,082.81x = 97,624.21 × 33,978.81
  4. Step 4: Simplify right side
    65,082.81x = 3,317,154,482.99
  5. Step 5: Solve for x
    x = 3,317,154,482.99/65,082.81
  6. Step 6: Final answer
    x = 50,968.21

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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.