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Finding the Fourth Proportional to 89,833.89, 123,963.89 and 49,549.17

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Solution

The fourth proportional to 89,833.89, 123,963.89 and 49,549.17 is: 68,374.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,833.89 : 123,963.89 = 49,549.17 : x
  2. Step 2: Convert to fraction form
    89,833.89/123,963.89 = 49,549.17/x
  3. Step 3: Cross multiply
    89,833.89x = 123,963.89 × 49,549.17
  4. Step 4: Simplify right side
    89,833.89x = 6,142,307,611.73
  5. Step 5: Solve for x
    x = 6,142,307,611.73/89,833.89
  6. Step 6: Final answer
    x = 68,374.06

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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.