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Finding the Fourth Proportional to 89,342.62, 123,294.21 and 49,060

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Solution

The fourth proportional to 89,342.62, 123,294.21 and 49,060 is: 67,703.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,342.62 : 123,294.21 = 49,060 : x
  2. Step 2: Convert to fraction form
    89,342.62/123,294.21 = 49,060/x
  3. Step 3: Cross multiply
    89,342.62x = 123,294.21 × 49,060
  4. Step 4: Simplify right side
    89,342.62x = 6,048,813,942.60
  5. Step 5: Solve for x
    x = 6,048,813,942.60/89,342.62
  6. Step 6: Final answer
    x = 67,703.57

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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.