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Finding the Fourth Proportional to 89,780.95, 123,892.36 and 49,496.41

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Solution

The fourth proportional to 89,780.95, 123,892.36 and 49,496.41 is: 68,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,780.95 : 123,892.36 = 49,496.41 : x
  2. Step 2: Convert to fraction form
    89,780.95/123,892.36 = 49,496.41/x
  3. Step 3: Cross multiply
    89,780.95x = 123,892.36 × 49,496.41
  4. Step 4: Simplify right side
    89,780.95x = 6,132,227,046.43
  5. Step 5: Solve for x
    x = 6,132,227,046.43/89,780.95
  6. Step 6: Final answer
    x = 68,302.10

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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.