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Finding the Fourth Proportional to 31,029.52, 42,817.52 and 18,109.20

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Solution

The fourth proportional to 31,029.52, 42,817.52 and 18,109.20 is: 24,988.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,029.52 : 42,817.52 = 18,109.20 : x
  2. Step 2: Convert to fraction form
    31,029.52/42,817.52 = 18,109.20/x
  3. Step 3: Cross multiply
    31,029.52x = 42,817.52 × 18,109.20
  4. Step 4: Simplify right side
    31,029.52x = 775,391,033.18
  5. Step 5: Solve for x
    x = 775,391,033.18/31,029.52
  6. Step 6: Final answer
    x = 24,988.82

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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.