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Finding the Fourth Proportional to 42,542.50, 63,806.75 and 15,881.49

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Solution

The fourth proportional to 42,542.50, 63,806.75 and 15,881.49 is: 23,819.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,542.50 : 63,806.75 = 15,881.49 : x
  2. Step 2: Convert to fraction form
    42,542.50/63,806.75 = 15,881.49/x
  3. Step 3: Cross multiply
    42,542.50x = 63,806.75 × 15,881.49
  4. Step 4: Simplify right side
    42,542.50x = 1,013,346,262.06
  5. Step 5: Solve for x
    x = 1,013,346,262.06/42,542.50
  6. Step 6: Final answer
    x = 23,819.62

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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.