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Finding the Fourth Proportional to 73,177.26, 109,786.97 and 35,758.90

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Solution

The fourth proportional to 73,177.26, 109,786.97 and 35,758.90 is: 53,648.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,177.26 : 109,786.97 = 35,758.90 : x
  2. Step 2: Convert to fraction form
    73,177.26/109,786.97 = 35,758.90/x
  3. Step 3: Cross multiply
    73,177.26x = 109,786.97 × 35,758.90
  4. Step 4: Simplify right side
    73,177.26x = 3,925,861,281.53
  5. Step 5: Solve for x
    x = 3,925,861,281.53/73,177.26
  6. Step 6: Final answer
    x = 53,648.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.