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Finding the Fourth Proportional to 67,581.31, 101,463.90 and 38,019.95

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Solution

The fourth proportional to 67,581.31, 101,463.90 and 38,019.95 is: 57,081.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,581.31 : 101,463.90 = 38,019.95 : x
  2. Step 2: Convert to fraction form
    67,581.31/101,463.90 = 38,019.95/x
  3. Step 3: Cross multiply
    67,581.31x = 101,463.90 × 38,019.95
  4. Step 4: Simplify right side
    67,581.31x = 3,857,652,404.81
  5. Step 5: Solve for x
    x = 3,857,652,404.81/67,581.31
  6. Step 6: Final answer
    x = 57,081.65

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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.