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Finding the Fourth Proportional to 39,151.56, 54,013.46 and 22,381

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Solution

The fourth proportional to 39,151.56, 54,013.46 and 22,381 is: 30,876.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,151.56 : 54,013.46 = 22,381 : x
  2. Step 2: Convert to fraction form
    39,151.56/54,013.46 = 22,381/x
  3. Step 3: Cross multiply
    39,151.56x = 54,013.46 × 22,381
  4. Step 4: Simplify right side
    39,151.56x = 1,208,875,248.26
  5. Step 5: Solve for x
    x = 1,208,875,248.26/39,151.56
  6. Step 6: Final answer
    x = 30,876.81

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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.