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Finding the Fourth Proportional to 41,229.47, 61,708.84 and 31,314.13

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Solution

The fourth proportional to 41,229.47, 61,708.84 and 31,314.13 is: 46,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,229.47 : 61,708.84 = 31,314.13 : x
  2. Step 2: Convert to fraction form
    41,229.47/61,708.84 = 31,314.13/x
  3. Step 3: Cross multiply
    41,229.47x = 61,708.84 × 31,314.13
  4. Step 4: Simplify right side
    41,229.47x = 1,932,358,405.35
  5. Step 5: Solve for x
    x = 1,932,358,405.35/41,229.47
  6. Step 6: Final answer
    x = 46,868.38

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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.