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Finding the Fourth Proportional to 55,878.50, 83,872.82 and 41,045.78

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Solution

The fourth proportional to 55,878.50, 83,872.82 and 41,045.78 is: 61,609.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,878.50 : 83,872.82 = 41,045.78 : x
  2. Step 2: Convert to fraction form
    55,878.50/83,872.82 = 41,045.78/x
  3. Step 3: Cross multiply
    55,878.50x = 83,872.82 × 41,045.78
  4. Step 4: Simplify right side
    55,878.50x = 3,442,625,317.70
  5. Step 5: Solve for x
    x = 3,442,625,317.70/55,878.50
  6. Step 6: Final answer
    x = 61,609.12

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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.