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Finding the Fourth Proportional to 31,642.38, 47,463.57 and 8,268.84

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Solution

The fourth proportional to 31,642.38, 47,463.57 and 8,268.84 is: 12,403.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642.38 : 47,463.57 = 8,268.84 : x
  2. Step 2: Convert to fraction form
    31,642.38/47,463.57 = 8,268.84/x
  3. Step 3: Cross multiply
    31,642.38x = 47,463.57 × 8,268.84
  4. Step 4: Simplify right side
    31,642.38x = 392,468,666.16
  5. Step 5: Solve for x
    x = 392,468,666.16/31,642.38
  6. Step 6: Final answer
    x = 12,403.26

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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.