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Finding the Fourth Proportional to 89,761, 123,869.50 and 49,474.76

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Solution

The fourth proportional to 89,761, 123,869.50 and 49,474.76 is: 68,274.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,761 : 123,869.50 = 49,474.76 : x
  2. Step 2: Convert to fraction form
    89,761/123,869.50 = 49,474.76/x
  3. Step 3: Cross multiply
    89,761x = 123,869.50 × 49,474.76
  4. Step 4: Simplify right side
    89,761x = 6,128,413,783.82
  5. Step 5: Solve for x
    x = 6,128,413,783.82/89,761
  6. Step 6: Final answer
    x = 68,274.79

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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.