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Finding the Fourth Proportional to 89,188.38, 123,076.89 and 48,901.14

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Solution

The fourth proportional to 89,188.38, 123,076.89 and 48,901.14 is: 67,481.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,188.38 : 123,076.89 = 48,901.14 : x
  2. Step 2: Convert to fraction form
    89,188.38/123,076.89 = 48,901.14/x
  3. Step 3: Cross multiply
    89,188.38x = 123,076.89 × 48,901.14
  4. Step 4: Simplify right side
    89,188.38x = 6,018,600,228.65
  5. Step 5: Solve for x
    x = 6,018,600,228.65/89,188.38
  6. Step 6: Final answer
    x = 67,481.89

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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.