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Finding the Fourth Proportional to 63,581.08, 87,714.48 and 38,416

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Solution

The fourth proportional to 63,581.08, 87,714.48 and 38,416 is: 52,997.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,581.08 : 87,714.48 = 38,416 : x
  2. Step 2: Convert to fraction form
    63,581.08/87,714.48 = 38,416/x
  3. Step 3: Cross multiply
    63,581.08x = 87,714.48 × 38,416
  4. Step 4: Simplify right side
    63,581.08x = 3,369,639,463.68
  5. Step 5: Solve for x
    x = 3,369,639,463.68/63,581.08
  6. Step 6: Final answer
    x = 52,997.52

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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.