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Finding the Fourth Proportional to 38,147.71, 52,646.17 and 21,151.95

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Solution

The fourth proportional to 38,147.71, 52,646.17 and 21,151.95 is: 29,190.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,147.71 : 52,646.17 = 21,151.95 : x
  2. Step 2: Convert to fraction form
    38,147.71/52,646.17 = 21,151.95/x
  3. Step 3: Cross multiply
    38,147.71x = 52,646.17 × 21,151.95
  4. Step 4: Simplify right side
    38,147.71x = 1,113,569,079.90
  5. Step 5: Solve for x
    x = 1,113,569,079.90/38,147.71
  6. Step 6: Final answer
    x = 29,190.98

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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.