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Finding the Fourth Proportional to 38,909.76, 53,695.69 and 22,142.76

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Solution

The fourth proportional to 38,909.76, 53,695.69 and 22,142.76 is: 30,557.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,909.76 : 53,695.69 = 22,142.76 : x
  2. Step 2: Convert to fraction form
    38,909.76/53,695.69 = 22,142.76/x
  3. Step 3: Cross multiply
    38,909.76x = 53,695.69 × 22,142.76
  4. Step 4: Simplify right side
    38,909.76x = 1,188,970,776.70
  5. Step 5: Solve for x
    x = 1,188,970,776.70/38,909.76
  6. Step 6: Final answer
    x = 30,557.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.