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Finding the Fourth Proportional to 49,899.38, 68,861.16 and 27,543.38

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Solution

The fourth proportional to 49,899.38, 68,861.16 and 27,543.38 is: 38,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,899.38 : 68,861.16 = 27,543.38 : x
  2. Step 2: Convert to fraction form
    49,899.38/68,861.16 = 27,543.38/x
  3. Step 3: Cross multiply
    49,899.38x = 68,861.16 × 27,543.38
  4. Step 4: Simplify right side
    49,899.38x = 1,896,668,752.82
  5. Step 5: Solve for x
    x = 1,896,668,752.82/49,899.38
  6. Step 6: Final answer
    x = 38,009.87

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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.