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Finding the Fourth Proportional to 31,648.32, 47,471.40 and 8,274.78

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Solution

The fourth proportional to 31,648.32, 47,471.40 and 8,274.78 is: 12,411.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,648.32 : 47,471.40 = 8,274.78 : x
  2. Step 2: Convert to fraction form
    31,648.32/47,471.40 = 8,274.78/x
  3. Step 3: Cross multiply
    31,648.32x = 47,471.40 × 8,274.78
  4. Step 4: Simplify right side
    31,648.32x = 392,815,391.29
  5. Step 5: Solve for x
    x = 392,815,391.29/31,648.32
  6. Step 6: Final answer
    x = 12,411.89

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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.