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Finding the Fourth Proportional to 31,433.52, 47,179.88 and 11,462.31

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Solution

The fourth proportional to 31,433.52, 47,179.88 and 11,462.31 is: 17,204.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,433.52 : 47,179.88 = 11,462.31 : x
  2. Step 2: Convert to fraction form
    31,433.52/47,179.88 = 11,462.31/x
  3. Step 3: Cross multiply
    31,433.52x = 47,179.88 × 11,462.31
  4. Step 4: Simplify right side
    31,433.52x = 540,790,353.01
  5. Step 5: Solve for x
    x = 540,790,353.01/31,433.52
  6. Step 6: Final answer
    x = 17,204.26

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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.