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Finding the Fourth Proportional to 65,807.92, 98,668.14 and 36,239.68

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Solution

The fourth proportional to 65,807.92, 98,668.14 and 36,239.68 is: 54,335.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,807.92 : 98,668.14 = 36,239.68 : x
  2. Step 2: Convert to fraction form
    65,807.92/98,668.14 = 36,239.68/x
  3. Step 3: Cross multiply
    65,807.92x = 98,668.14 × 36,239.68
  4. Step 4: Simplify right side
    65,807.92x = 3,575,701,819.80
  5. Step 5: Solve for x
    x = 3,575,701,819.80/65,807.92
  6. Step 6: Final answer
    x = 54,335.43

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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.