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Finding the Fourth Proportional to 31,755.38, 47,643.74 and 22,277.57

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Solution

The fourth proportional to 31,755.38, 47,643.74 and 22,277.57 is: 33,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,755.38 : 47,643.74 = 22,277.57 : x
  2. Step 2: Convert to fraction form
    31,755.38/47,643.74 = 22,277.57/x
  3. Step 3: Cross multiply
    31,755.38x = 47,643.74 × 22,277.57
  4. Step 4: Simplify right side
    31,755.38x = 1,061,386,403.31
  5. Step 5: Solve for x
    x = 1,061,386,403.31/31,755.38
  6. Step 6: Final answer
    x = 33,423.83

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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.