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Finding the Fourth Proportional to 31,542.99, 47,306.41 and 9,351.18

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Solution

The fourth proportional to 31,542.99, 47,306.41 and 9,351.18 is: 14,024.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,542.99 : 47,306.41 = 9,351.18 : x
  2. Step 2: Convert to fraction form
    31,542.99/47,306.41 = 9,351.18/x
  3. Step 3: Cross multiply
    31,542.99x = 47,306.41 × 9,351.18
  4. Step 4: Simplify right side
    31,542.99x = 442,370,755.06
  5. Step 5: Solve for x
    x = 442,370,755.06/31,542.99
  6. Step 6: Final answer
    x = 14,024.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.