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Finding the Fourth Proportional to 31,854.26, 43,957.80 and 17,706.80

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Solution

The fourth proportional to 31,854.26, 43,957.80 and 17,706.80 is: 24,434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854.26 : 43,957.80 = 17,706.80 : x
  2. Step 2: Convert to fraction form
    31,854.26/43,957.80 = 17,706.80/x
  3. Step 3: Cross multiply
    31,854.26x = 43,957.80 × 17,706.80
  4. Step 4: Simplify right side
    31,854.26x = 778,351,973.04
  5. Step 5: Solve for x
    x = 778,351,973.04/31,854.26
  6. Step 6: Final answer
    x = 24,434.78

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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.