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Finding the Fourth Proportional to 31,351.24, 47,029.89 and 9,164.11

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Solution

The fourth proportional to 31,351.24, 47,029.89 and 9,164.11 is: 13,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,351.24 : 47,029.89 = 9,164.11 : x
  2. Step 2: Convert to fraction form
    31,351.24/47,029.89 = 9,164.11/x
  3. Step 3: Cross multiply
    31,351.24x = 47,029.89 × 9,164.11
  4. Step 4: Simplify right side
    31,351.24x = 430,987,085.25
  5. Step 5: Solve for x
    x = 430,987,085.25/31,351.24
  6. Step 6: Final answer
    x = 13,747.05

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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.