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Finding the Fourth Proportional to 78,568.38, 108,427.14 and 44,577

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Solution

The fourth proportional to 78,568.38, 108,427.14 and 44,577 is: 61,517.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,568.38 : 108,427.14 = 44,577 : x
  2. Step 2: Convert to fraction form
    78,568.38/108,427.14 = 44,577/x
  3. Step 3: Cross multiply
    78,568.38x = 108,427.14 × 44,577
  4. Step 4: Simplify right side
    78,568.38x = 4,833,356,619.78
  5. Step 5: Solve for x
    x = 4,833,356,619.78/78,568.38
  6. Step 6: Final answer
    x = 61,517.83

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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.