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Finding the Fourth Proportional to 31,445.70, 47,158.54 and 10,381.82

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Solution

The fourth proportional to 31,445.70, 47,158.54 and 10,381.82 is: 15,569.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,445.70 : 47,158.54 = 10,381.82 : x
  2. Step 2: Convert to fraction form
    31,445.70/47,158.54 = 10,381.82/x
  3. Step 3: Cross multiply
    31,445.70x = 47,158.54 × 10,381.82
  4. Step 4: Simplify right side
    31,445.70x = 489,591,473.74
  5. Step 5: Solve for x
    x = 489,591,473.74/31,445.70
  6. Step 6: Final answer
    x = 15,569.43

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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.