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Finding the Fourth Proportional to 89,491.62, 123,498.90 and 49,207.97

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Solution

The fourth proportional to 89,491.62, 123,498.90 and 49,207.97 is: 67,907.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,491.62 : 123,498.90 = 49,207.97 : x
  2. Step 2: Convert to fraction form
    89,491.62/123,498.90 = 49,207.97/x
  3. Step 3: Cross multiply
    89,491.62x = 123,498.90 × 49,207.97
  4. Step 4: Simplify right side
    89,491.62x = 6,077,130,166.23
  5. Step 5: Solve for x
    x = 6,077,130,166.23/89,491.62
  6. Step 6: Final answer
    x = 67,907.25

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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.