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Finding the Fourth Proportional to 49,062.85, 67,702.87 and 27,842.12

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Solution

The fourth proportional to 49,062.85, 67,702.87 and 27,842.12 is: 38,419.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,062.85 : 67,702.87 = 27,842.12 : x
  2. Step 2: Convert to fraction form
    49,062.85/67,702.87 = 27,842.12/x
  3. Step 3: Cross multiply
    49,062.85x = 67,702.87 × 27,842.12
  4. Step 4: Simplify right side
    49,062.85x = 1,884,991,161.98
  5. Step 5: Solve for x
    x = 1,884,991,161.98/49,062.85
  6. Step 6: Final answer
    x = 38,419.93

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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.