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Finding the Fourth Proportional to 31,351.64, 47,033.52 and 9,165.12

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Solution

The fourth proportional to 31,351.64, 47,033.52 and 9,165.12 is: 13,749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,351.64 : 47,033.52 = 9,165.12 : x
  2. Step 2: Convert to fraction form
    31,351.64/47,033.52 = 9,165.12/x
  3. Step 3: Cross multiply
    31,351.64x = 47,033.52 × 9,165.12
  4. Step 4: Simplify right side
    31,351.64x = 431,067,854.82
  5. Step 5: Solve for x
    x = 431,067,854.82/31,351.64
  6. Step 6: Final answer
    x = 13,749.45

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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.