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Finding the Fourth Proportional to 49,144.86, 67,827.78 and 27,930.96

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Solution

The fourth proportional to 49,144.86, 67,827.78 and 27,930.96 is: 38,549.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,144.86 : 67,827.78 = 27,930.96 : x
  2. Step 2: Convert to fraction form
    49,144.86/67,827.78 = 27,930.96/x
  3. Step 3: Cross multiply
    49,144.86x = 67,827.78 × 27,930.96
  4. Step 4: Simplify right side
    49,144.86x = 1,894,495,010.07
  5. Step 5: Solve for x
    x = 1,894,495,010.07/49,144.86
  6. Step 6: Final answer
    x = 38,549.20

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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.