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Finding the Fourth Proportional to 31,542.40, 43,527.54 and 17,394.40

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Solution

The fourth proportional to 31,542.40, 43,527.54 and 17,394.40 is: 24,003.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,542.40 : 43,527.54 = 17,394.40 : x
  2. Step 2: Convert to fraction form
    31,542.40/43,527.54 = 17,394.40/x
  3. Step 3: Cross multiply
    31,542.40x = 43,527.54 × 17,394.40
  4. Step 4: Simplify right side
    31,542.40x = 757,135,441.78
  5. Step 5: Solve for x
    x = 757,135,441.78/31,542.40
  6. Step 6: Final answer
    x = 24,003.74

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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.