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Finding the Fourth Proportional to 31,524.52, 47,287.24 and 9,340.14

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Solution

The fourth proportional to 31,524.52, 47,287.24 and 9,340.14 is: 14,010.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,524.52 : 47,287.24 = 9,340.14 : x
  2. Step 2: Convert to fraction form
    31,524.52/47,287.24 = 9,340.14/x
  3. Step 3: Cross multiply
    31,524.52x = 47,287.24 × 9,340.14
  4. Step 4: Simplify right side
    31,524.52x = 441,669,441.81
  5. Step 5: Solve for x
    x = 441,669,441.81/31,524.52
  6. Step 6: Final answer
    x = 14,010.35

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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.