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Finding the Fourth Proportional to 54,706.38, 75,500.84 and 31,741.26

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Solution

The fourth proportional to 54,706.38, 75,500.84 and 31,741.26 is: 43,806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,706.38 : 75,500.84 = 31,741.26 : x
  2. Step 2: Convert to fraction form
    54,706.38/75,500.84 = 31,741.26/x
  3. Step 3: Cross multiply
    54,706.38x = 75,500.84 × 31,741.26
  4. Step 4: Simplify right side
    54,706.38x = 2,396,491,792.66
  5. Step 5: Solve for x
    x = 2,396,491,792.66/54,706.38
  6. Step 6: Final answer
    x = 43,806.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.