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Finding the Fourth Proportional to 31,854.80, 43,958.68 and 17,706.80

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Solution

The fourth proportional to 31,854.80, 43,958.68 and 17,706.80 is: 24,434.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854.80 : 43,958.68 = 17,706.80 : x
  2. Step 2: Convert to fraction form
    31,854.80/43,958.68 = 17,706.80/x
  3. Step 3: Cross multiply
    31,854.80x = 43,958.68 × 17,706.80
  4. Step 4: Simplify right side
    31,854.80x = 778,367,555.02
  5. Step 5: Solve for x
    x = 778,367,555.02/31,854.80
  6. Step 6: Final answer
    x = 24,434.86

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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.