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Finding the Fourth Proportional to 31,488.48, 47,002.34 and 27,751.92

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Solution

The fourth proportional to 31,488.48, 47,002.34 and 27,751.92 is: 41,424.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,488.48 : 47,002.34 = 27,751.92 : x
  2. Step 2: Convert to fraction form
    31,488.48/47,002.34 = 27,751.92/x
  3. Step 3: Cross multiply
    31,488.48x = 47,002.34 × 27,751.92
  4. Step 4: Simplify right side
    31,488.48x = 1,304,405,072.61
  5. Step 5: Solve for x
    x = 1,304,405,072.61/31,488.48
  6. Step 6: Final answer
    x = 41,424.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.