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Finding the Fourth Proportional to 38,146.85, 57,146.47 and 21,456.17

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Solution

The fourth proportional to 38,146.85, 57,146.47 and 21,456.17 is: 32,142.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,146.85 : 57,146.47 = 21,456.17 : x
  2. Step 2: Convert to fraction form
    38,146.85/57,146.47 = 21,456.17/x
  3. Step 3: Cross multiply
    38,146.85x = 57,146.47 × 21,456.17
  4. Step 4: Simplify right side
    38,146.85x = 1,226,144,375.22
  5. Step 5: Solve for x
    x = 1,226,144,375.22/38,146.85
  6. Step 6: Final answer
    x = 32,142.74

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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.