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Finding the Fourth Proportional to 65,001.20, 97,501.80 and 31,742.60

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Solution

The fourth proportional to 65,001.20, 97,501.80 and 31,742.60 is: 47,613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,001.20 : 97,501.80 = 31,742.60 : x
  2. Step 2: Convert to fraction form
    65,001.20/97,501.80 = 31,742.60/x
  3. Step 3: Cross multiply
    65,001.20x = 97,501.80 × 31,742.60
  4. Step 4: Simplify right side
    65,001.20x = 3,094,960,636.68
  5. Step 5: Solve for x
    x = 3,094,960,636.68/65,001.20
  6. Step 6: Final answer
    x = 47,613.90

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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.