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Finding the Fourth Proportional to 73,227.78, 109,904.85 and 35,815.50

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Solution

The fourth proportional to 73,227.78, 109,904.85 and 35,815.50 is: 53,754.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,227.78 : 109,904.85 = 35,815.50 : x
  2. Step 2: Convert to fraction form
    73,227.78/109,904.85 = 35,815.50/x
  3. Step 3: Cross multiply
    73,227.78x = 109,904.85 × 35,815.50
  4. Step 4: Simplify right side
    73,227.78x = 3,936,297,155.18
  5. Step 5: Solve for x
    x = 3,936,297,155.18/73,227.78
  6. Step 6: Final answer
    x = 53,754.15

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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.