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Finding the Fourth Proportional to 31,354.80, 47,032.20 and 9,167.28

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Solution

The fourth proportional to 31,354.80, 47,032.20 and 9,167.28 is: 13,750.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,354.80 : 47,032.20 = 9,167.28 : x
  2. Step 2: Convert to fraction form
    31,354.80/47,032.20 = 9,167.28/x
  3. Step 3: Cross multiply
    31,354.80x = 47,032.20 × 9,167.28
  4. Step 4: Simplify right side
    31,354.80x = 431,157,346.42
  5. Step 5: Solve for x
    x = 431,157,346.42/31,354.80
  6. Step 6: Final answer
    x = 13,750.92

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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.