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Finding the Fourth Proportional to 39,853.50, 59,806.17 and 15,229.50

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Solution

The fourth proportional to 39,853.50, 59,806.17 and 15,229.50 is: 22,854.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,853.50 : 59,806.17 = 15,229.50 : x
  2. Step 2: Convert to fraction form
    39,853.50/59,806.17 = 15,229.50/x
  3. Step 3: Cross multiply
    39,853.50x = 59,806.17 × 15,229.50
  4. Step 4: Simplify right side
    39,853.50x = 910,818,066.02
  5. Step 5: Solve for x
    x = 910,818,066.02/39,853.50
  6. Step 6: Final answer
    x = 22,854.15

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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.