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Finding the Fourth Proportional to 31,524.88, 47,294.24 and 9,339.99

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Solution

The fourth proportional to 31,524.88, 47,294.24 and 9,339.99 is: 14,012.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,524.88 : 47,294.24 = 9,339.99 : x
  2. Step 2: Convert to fraction form
    31,524.88/47,294.24 = 9,339.99/x
  3. Step 3: Cross multiply
    31,524.88x = 47,294.24 × 9,339.99
  4. Step 4: Simplify right side
    31,524.88x = 441,727,728.66
  5. Step 5: Solve for x
    x = 441,727,728.66/31,524.88
  6. Step 6: Final answer
    x = 14,012.04

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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.