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Finding the Fourth Proportional to 31,065.85, 46,600.31 and 8,882.49

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Solution

The fourth proportional to 31,065.85, 46,600.31 and 8,882.49 is: 13,324.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,065.85 : 46,600.31 = 8,882.49 : x
  2. Step 2: Convert to fraction form
    31,065.85/46,600.31 = 8,882.49/x
  3. Step 3: Cross multiply
    31,065.85x = 46,600.31 × 8,882.49
  4. Step 4: Simplify right side
    31,065.85x = 413,926,984.53
  5. Step 5: Solve for x
    x = 413,926,984.53/31,065.85
  6. Step 6: Final answer
    x = 13,324.18

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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.