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Finding the Fourth Proportional to 71,532.96, 98,714 and 39,700

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Solution

The fourth proportional to 71,532.96, 98,714 and 39,700 is: 54,785.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,532.96 : 98,714 = 39,700 : x
  2. Step 2: Convert to fraction form
    71,532.96/98,714 = 39,700/x
  3. Step 3: Cross multiply
    71,532.96x = 98,714 × 39,700
  4. Step 4: Simplify right side
    71,532.96x = 3,918,945,800
  5. Step 5: Solve for x
    x = 3,918,945,800/71,532.96
  6. Step 6: Final answer
    x = 54,785.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.