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Finding the Fourth Proportional to 49,861.78, 68,805.70 and 28,061.24

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Solution

The fourth proportional to 49,861.78, 68,805.70 and 28,061.24 is: 38,722.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,861.78 : 68,805.70 = 28,061.24 : x
  2. Step 2: Convert to fraction form
    49,861.78/68,805.70 = 28,061.24/x
  3. Step 3: Cross multiply
    49,861.78x = 68,805.70 × 28,061.24
  4. Step 4: Simplify right side
    49,861.78x = 1,930,773,261.07
  5. Step 5: Solve for x
    x = 1,930,773,261.07/49,861.78
  6. Step 6: Final answer
    x = 38,722.51

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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.