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Finding the Fourth Proportional to 83,714.65, 125,271.24 and 61,472.86

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Solution

The fourth proportional to 83,714.65, 125,271.24 and 61,472.86 is: 91,988.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,714.65 : 125,271.24 = 61,472.86 : x
  2. Step 2: Convert to fraction form
    83,714.65/125,271.24 = 61,472.86/x
  3. Step 3: Cross multiply
    83,714.65x = 125,271.24 × 61,472.86
  4. Step 4: Simplify right side
    83,714.65x = 7,700,781,398.55
  5. Step 5: Solve for x
    x = 7,700,781,398.55/83,714.65
  6. Step 6: Final answer
    x = 91,988.46

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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.