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Finding the Fourth Proportional to 89,491.60, 123,499.02 and 49,204

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Solution

The fourth proportional to 89,491.60, 123,499.02 and 49,204 is: 67,901.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,491.60 : 123,499.02 = 49,204 : x
  2. Step 2: Convert to fraction form
    89,491.60/123,499.02 = 49,204/x
  3. Step 3: Cross multiply
    89,491.60x = 123,499.02 × 49,204
  4. Step 4: Simplify right side
    89,491.60x = 6,076,645,780.08
  5. Step 5: Solve for x
    x = 6,076,645,780.08/89,491.60
  6. Step 6: Final answer
    x = 67,901.86

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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.