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Finding the Fourth Proportional to 89,184.46, 123,076.90 and 50,419.20

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Solution

The fourth proportional to 89,184.46, 123,076.90 and 50,419.20 is: 69,579.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,184.46 : 123,076.90 = 50,419.20 : x
  2. Step 2: Convert to fraction form
    89,184.46/123,076.90 = 50,419.20/x
  3. Step 3: Cross multiply
    89,184.46x = 123,076.90 × 50,419.20
  4. Step 4: Simplify right side
    89,184.46x = 6,205,438,836.48
  5. Step 5: Solve for x
    x = 6,205,438,836.48/89,184.46
  6. Step 6: Final answer
    x = 69,579.82

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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.