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Finding the Fourth Proportional to 31,498.72, 47,233.92 and 9,304.36

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Solution

The fourth proportional to 31,498.72, 47,233.92 and 9,304.36 is: 13,952.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,498.72 : 47,233.92 = 9,304.36 : x
  2. Step 2: Convert to fraction form
    31,498.72/47,233.92 = 9,304.36/x
  3. Step 3: Cross multiply
    31,498.72x = 47,233.92 × 9,304.36
  4. Step 4: Simplify right side
    31,498.72x = 439,481,395.89
  5. Step 5: Solve for x
    x = 439,481,395.89/31,498.72
  6. Step 6: Final answer
    x = 13,952.36

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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.