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Finding the Fourth Proportional to 31,793.60, 43,875.71 and 17,454.78

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Solution

The fourth proportional to 31,793.60, 43,875.71 and 17,454.78 is: 24,087.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,793.60 : 43,875.71 = 17,454.78 : x
  2. Step 2: Convert to fraction form
    31,793.60/43,875.71 = 17,454.78/x
  3. Step 3: Cross multiply
    31,793.60x = 43,875.71 × 17,454.78
  4. Step 4: Simplify right side
    31,793.60x = 765,840,865.39
  5. Step 5: Solve for x
    x = 765,840,865.39/31,793.60
  6. Step 6: Final answer
    x = 24,087.89

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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.