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Finding the Fourth Proportional to 89,469, 123,468.78 and 49,184.46

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Solution

The fourth proportional to 89,469, 123,468.78 and 49,184.46 is: 67,875.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,469 : 123,468.78 = 49,184.46 : x
  2. Step 2: Convert to fraction form
    89,469/123,468.78 = 49,184.46/x
  3. Step 3: Cross multiply
    89,469x = 123,468.78 × 49,184.46
  4. Step 4: Simplify right side
    89,469x = 6,072,745,271.16
  5. Step 5: Solve for x
    x = 6,072,745,271.16/89,469
  6. Step 6: Final answer
    x = 67,875.41

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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.