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Finding the Fourth Proportional to 49,419.80, 68,199.22 and 26,758.82

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Solution

The fourth proportional to 49,419.80, 68,199.22 and 26,758.82 is: 36,927.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,419.80 : 68,199.22 = 26,758.82 : x
  2. Step 2: Convert to fraction form
    49,419.80/68,199.22 = 26,758.82/x
  3. Step 3: Cross multiply
    49,419.80x = 68,199.22 × 26,758.82
  4. Step 4: Simplify right side
    49,419.80x = 1,824,930,177.33
  5. Step 5: Solve for x
    x = 1,824,930,177.33/49,419.80
  6. Step 6: Final answer
    x = 36,927.11

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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.