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Finding the Fourth Proportional to 55,752.80, 83,641.20 and 16,306.88

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Solution

The fourth proportional to 55,752.80, 83,641.20 and 16,306.88 is: 24,463.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,752.80 : 83,641.20 = 16,306.88 : x
  2. Step 2: Convert to fraction form
    55,752.80/83,641.20 = 16,306.88/x
  3. Step 3: Cross multiply
    55,752.80x = 83,641.20 × 16,306.88
  4. Step 4: Simplify right side
    55,752.80x = 1,363,927,011.46
  5. Step 5: Solve for x
    x = 1,363,927,011.46/55,752.80
  6. Step 6: Final answer
    x = 24,463.83

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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.