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Finding the Fourth Proportional to 89,745.38, 123,842.75 and 49,459.15

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Solution

The fourth proportional to 89,745.38, 123,842.75 and 49,459.15 is: 68,250.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,745.38 : 123,842.75 = 49,459.15 : x
  2. Step 2: Convert to fraction form
    89,745.38/123,842.75 = 49,459.15/x
  3. Step 3: Cross multiply
    89,745.38x = 123,842.75 × 49,459.15
  4. Step 4: Simplify right side
    89,745.38x = 6,125,156,529.45
  5. Step 5: Solve for x
    x = 6,125,156,529.45/89,745.38
  6. Step 6: Final answer
    x = 68,250.39

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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.