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Finding the Fourth Proportional to 49,199.54, 67,889.07 and 27,686.61

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Solution

The fourth proportional to 49,199.54, 67,889.07 and 27,686.61 is: 38,203.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,199.54 : 67,889.07 = 27,686.61 : x
  2. Step 2: Convert to fraction form
    49,199.54/67,889.07 = 27,686.61/x
  3. Step 3: Cross multiply
    49,199.54x = 67,889.07 × 27,686.61
  4. Step 4: Simplify right side
    49,199.54x = 1,879,618,204.35
  5. Step 5: Solve for x
    x = 1,879,618,204.35/49,199.54
  6. Step 6: Final answer
    x = 38,203.98

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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.