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Finding the Fourth Proportional to 73,178.26, 109,788.47 and 35,759.90

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Solution

The fourth proportional to 73,178.26, 109,788.47 and 35,759.90 is: 53,650.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,178.26 : 109,788.47 = 35,759.90 : x
  2. Step 2: Convert to fraction form
    73,178.26/109,788.47 = 35,759.90/x
  3. Step 3: Cross multiply
    73,178.26x = 109,788.47 × 35,759.90
  4. Step 4: Simplify right side
    73,178.26x = 3,926,024,708.35
  5. Step 5: Solve for x
    x = 3,926,024,708.35/73,178.26
  6. Step 6: Final answer
    x = 53,650.15

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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.