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Finding the Fourth Proportional to 89,691.93, 123,774.29 and 49,404.76

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Solution

The fourth proportional to 89,691.93, 123,774.29 and 49,404.76 is: 68,178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,691.93 : 123,774.29 = 49,404.76 : x
  2. Step 2: Convert to fraction form
    89,691.93/123,774.29 = 49,404.76/x
  3. Step 3: Cross multiply
    89,691.93x = 123,774.29 × 49,404.76
  4. Step 4: Simplify right side
    89,691.93x = 6,115,038,535.16
  5. Step 5: Solve for x
    x = 6,115,038,535.16/89,691.93
  6. Step 6: Final answer
    x = 68,178.25

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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.