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Finding the Fourth Proportional to 31,542.31, 47,318.18 and 9,353.07

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Solution

The fourth proportional to 31,542.31, 47,318.18 and 9,353.07 is: 14,031.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,542.31 : 47,318.18 = 9,353.07 : x
  2. Step 2: Convert to fraction form
    31,542.31/47,318.18 = 9,353.07/x
  3. Step 3: Cross multiply
    31,542.31x = 47,318.18 × 9,353.07
  4. Step 4: Simplify right side
    31,542.31x = 442,570,203.05
  5. Step 5: Solve for x
    x = 442,570,203.05/31,542.31
  6. Step 6: Final answer
    x = 14,031.00

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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.