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Finding the Fourth Proportional to 31,706.64, 47,524.32 and 15,053.04

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Solution

The fourth proportional to 31,706.64, 47,524.32 and 15,053.04 is: 22,562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,706.64 : 47,524.32 = 15,053.04 : x
  2. Step 2: Convert to fraction form
    31,706.64/47,524.32 = 15,053.04/x
  3. Step 3: Cross multiply
    31,706.64x = 47,524.32 × 15,053.04
  4. Step 4: Simplify right side
    31,706.64x = 715,385,489.93
  5. Step 5: Solve for x
    x = 715,385,489.93/31,706.64
  6. Step 6: Final answer
    x = 22,562.64

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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.