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Finding the Fourth Proportional to 34,414.28, 47,441.43 and 24,324.92

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Solution

The fourth proportional to 34,414.28, 47,441.43 and 24,324.92 is: 33,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,414.28 : 47,441.43 = 24,324.92 : x
  2. Step 2: Convert to fraction form
    34,414.28/47,441.43 = 24,324.92/x
  3. Step 3: Cross multiply
    34,414.28x = 47,441.43 × 24,324.92
  4. Step 4: Simplify right side
    34,414.28x = 1,154,008,752.23
  5. Step 5: Solve for x
    x = 1,154,008,752.23/34,414.28
  6. Step 6: Final answer
    x = 33,532.85

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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.