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Finding the Fourth Proportional to 89,478.38, 123,477.01 and 49,191.85

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Solution

The fourth proportional to 89,478.38, 123,477.01 and 49,191.85 is: 67,883.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,478.38 : 123,477.01 = 49,191.85 : x
  2. Step 2: Convert to fraction form
    89,478.38/123,477.01 = 49,191.85/x
  3. Step 3: Cross multiply
    89,478.38x = 123,477.01 × 49,191.85
  4. Step 4: Simplify right side
    89,478.38x = 6,074,062,122.70
  5. Step 5: Solve for x
    x = 6,074,062,122.70/89,478.38
  6. Step 6: Final answer
    x = 67,883.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.