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Finding the Fourth Proportional to 89,250, 123,170.76 and 49,506

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Solution

The fourth proportional to 89,250, 123,170.76 and 49,506 is: 68,321.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,250 : 123,170.76 = 49,506 : x
  2. Step 2: Convert to fraction form
    89,250/123,170.76 = 49,506/x
  3. Step 3: Cross multiply
    89,250x = 123,170.76 × 49,506
  4. Step 4: Simplify right side
    89,250x = 6,097,691,644.56
  5. Step 5: Solve for x
    x = 6,097,691,644.56/89,250
  6. Step 6: Final answer
    x = 68,321.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.