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Finding the Fourth Proportional to 89,137, 123,016.74 and 49,400.68

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Solution

The fourth proportional to 89,137, 123,016.74 and 49,400.68 is: 68,177.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,137 : 123,016.74 = 49,400.68 : x
  2. Step 2: Convert to fraction form
    89,137/123,016.74 = 49,400.68/x
  3. Step 3: Cross multiply
    89,137x = 123,016.74 × 49,400.68
  4. Step 4: Simplify right side
    89,137x = 6,077,110,607.38
  5. Step 5: Solve for x
    x = 6,077,110,607.38/89,137
  6. Step 6: Final answer
    x = 68,177.19

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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.