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Finding the Fourth Proportional to 85,726.80, 128,663.10 and 38,414.70

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Solution

The fourth proportional to 85,726.80, 128,663.10 and 38,414.70 is: 57,654.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,726.80 : 128,663.10 = 38,414.70 : x
  2. Step 2: Convert to fraction form
    85,726.80/128,663.10 = 38,414.70/x
  3. Step 3: Cross multiply
    85,726.80x = 128,663.10 × 38,414.70
  4. Step 4: Simplify right side
    85,726.80x = 4,942,554,387.57
  5. Step 5: Solve for x
    x = 4,942,554,387.57/85,726.80
  6. Step 6: Final answer
    x = 57,654.72

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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.