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Finding the Fourth Proportional to 31,950.48, 47,908.56 and 12,224.88

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Solution

The fourth proportional to 31,950.48, 47,908.56 and 12,224.88 is: 18,330.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,950.48 : 47,908.56 = 12,224.88 : x
  2. Step 2: Convert to fraction form
    31,950.48/47,908.56 = 12,224.88/x
  3. Step 3: Cross multiply
    31,950.48x = 47,908.56 × 12,224.88
  4. Step 4: Simplify right side
    31,950.48x = 585,676,396.97
  5. Step 5: Solve for x
    x = 585,676,396.97/31,950.48
  6. Step 6: Final answer
    x = 18,330.75

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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.