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Finding the Fourth Proportional to 49,198.80, 67,897.20 and 37,243.20

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Solution

The fourth proportional to 49,198.80, 67,897.20 and 37,243.20 is: 51,397.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,198.80 : 67,897.20 = 37,243.20 : x
  2. Step 2: Convert to fraction form
    49,198.80/67,897.20 = 37,243.20/x
  3. Step 3: Cross multiply
    49,198.80x = 67,897.20 × 37,243.20
  4. Step 4: Simplify right side
    49,198.80x = 2,528,708,999.04
  5. Step 5: Solve for x
    x = 2,528,708,999.04/49,198.80
  6. Step 6: Final answer
    x = 51,397.78

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1.5x scale

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.