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Finding the Fourth Proportional to 49,200.41, 67,884.55 and 27,686.00

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Solution

The fourth proportional to 49,200.41, 67,884.55 and 27,686.00 is: 38,199.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,200.41 : 67,884.55 = 27,686.00 : x
  2. Step 2: Convert to fraction form
    49,200.41/67,884.55 = 27,686.00/x
  3. Step 3: Cross multiply
    49,200.41x = 67,884.55 × 27,686.00
  4. Step 4: Simplify right side
    49,200.41x = 1,879,451,751.80
  5. Step 5: Solve for x
    x = 1,879,451,751.80/49,200.41
  6. Step 6: Final answer
    x = 38,199.92

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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.