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Finding the Fourth Proportional to 89,497.38, 123,507.22 and 49,211.40

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Solution

The fourth proportional to 89,497.38, 123,507.22 and 49,211.40 is: 67,912.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,497.38 : 123,507.22 = 49,211.40 : x
  2. Step 2: Convert to fraction form
    89,497.38/123,507.22 = 49,211.40/x
  3. Step 3: Cross multiply
    89,497.38x = 123,507.22 × 49,211.40
  4. Step 4: Simplify right side
    89,497.38x = 6,077,963,206.31
  5. Step 5: Solve for x
    x = 6,077,963,206.31/89,497.38
  6. Step 6: Final answer
    x = 67,912.19

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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.