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Finding the Fourth Proportional to 31,614.32, 47,444.88 and 14,974.40

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Solution

The fourth proportional to 31,614.32, 47,444.88 and 14,974.40 is: 22,472.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,614.32 : 47,444.88 = 14,974.40 : x
  2. Step 2: Convert to fraction form
    31,614.32/47,444.88 = 14,974.40/x
  3. Step 3: Cross multiply
    31,614.32x = 47,444.88 × 14,974.40
  4. Step 4: Simplify right side
    31,614.32x = 710,458,611.07
  5. Step 5: Solve for x
    x = 710,458,611.07/31,614.32
  6. Step 6: Final answer
    x = 22,472.68

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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.