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Finding the Fourth Proportional to 31,129.52, 42,959.57 and 17,702.96

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Solution

The fourth proportional to 31,129.52, 42,959.57 and 17,702.96 is: 24,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,129.52 : 42,959.57 = 17,702.96 : x
  2. Step 2: Convert to fraction form
    31,129.52/42,959.57 = 17,702.96/x
  3. Step 3: Cross multiply
    31,129.52x = 42,959.57 × 17,702.96
  4. Step 4: Simplify right side
    31,129.52x = 760,511,246.01
  5. Step 5: Solve for x
    x = 760,511,246.01/31,129.52
  6. Step 6: Final answer
    x = 24,430.55

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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.