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Finding the Fourth Proportional to 49,201.15, 67,891.98 and 27,686.74

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Solution

The fourth proportional to 49,201.15, 67,891.98 and 27,686.74 is: 38,204.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,201.15 : 67,891.98 = 27,686.74 : x
  2. Step 2: Convert to fraction form
    49,201.15/67,891.98 = 27,686.74/x
  3. Step 3: Cross multiply
    49,201.15x = 67,891.98 × 27,686.74
  4. Step 4: Simplify right side
    49,201.15x = 1,879,707,598.35
  5. Step 5: Solve for x
    x = 1,879,707,598.35/49,201.15
  6. Step 6: Final answer
    x = 38,204.55

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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.