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Finding the Fourth Proportional to 31,580.52, 43,580.88 and 17,434.20

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Solution

The fourth proportional to 31,580.52, 43,580.88 and 17,434.20 is: 24,059.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,580.52 : 43,580.88 = 17,434.20 : x
  2. Step 2: Convert to fraction form
    31,580.52/43,580.88 = 17,434.20/x
  3. Step 3: Cross multiply
    31,580.52x = 43,580.88 × 17,434.20
  4. Step 4: Simplify right side
    31,580.52x = 759,797,778.10
  5. Step 5: Solve for x
    x = 759,797,778.10/31,580.52
  6. Step 6: Final answer
    x = 24,059.06

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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.