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Finding the Fourth Proportional to 42,468, 63,767.76 and 22,785

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Solution

The fourth proportional to 42,468, 63,767.76 and 22,785 is: 34,212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,468 : 63,767.76 = 22,785 : x
  2. Step 2: Convert to fraction form
    42,468/63,767.76 = 22,785/x
  3. Step 3: Cross multiply
    42,468x = 63,767.76 × 22,785
  4. Step 4: Simplify right side
    42,468x = 1,452,948,411.60
  5. Step 5: Solve for x
    x = 1,452,948,411.60/42,468
  6. Step 6: Final answer
    x = 34,212.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.