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Finding the Fourth Proportional to 31,129.98, 42,963.05 and 17,703.25

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Solution

The fourth proportional to 31,129.98, 42,963.05 and 17,703.25 is: 24,432.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,129.98 : 42,963.05 = 17,703.25 : x
  2. Step 2: Convert to fraction form
    31,129.98/42,963.05 = 17,703.25/x
  3. Step 3: Cross multiply
    31,129.98x = 42,963.05 × 17,703.25
  4. Step 4: Simplify right side
    31,129.98x = 760,585,614.91
  5. Step 5: Solve for x
    x = 760,585,614.91/31,129.98
  6. Step 6: Final answer
    x = 24,432.58

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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.