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Finding the Fourth Proportional to 89,432.84, 123,414.83 and 49,146.59

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Solution

The fourth proportional to 89,432.84, 123,414.83 and 49,146.59 is: 67,820.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,432.84 : 123,414.83 = 49,146.59 : x
  2. Step 2: Convert to fraction form
    89,432.84/123,414.83 = 49,146.59/x
  3. Step 3: Cross multiply
    89,432.84x = 123,414.83 × 49,146.59
  4. Step 4: Simplify right side
    89,432.84x = 6,065,417,187.12
  5. Step 5: Solve for x
    x = 6,065,417,187.12/89,432.84
  6. Step 6: Final answer
    x = 67,820.92

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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.