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Finding the Fourth Proportional to 71,942.70, 107,922.15 and 22,022.40

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Solution

The fourth proportional to 71,942.70, 107,922.15 and 22,022.40 is: 33,036.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,942.70 : 107,922.15 = 22,022.40 : x
  2. Step 2: Convert to fraction form
    71,942.70/107,922.15 = 22,022.40/x
  3. Step 3: Cross multiply
    71,942.70x = 107,922.15 × 22,022.40
  4. Step 4: Simplify right side
    71,942.70x = 2,376,704,756.16
  5. Step 5: Solve for x
    x = 2,376,704,756.16/71,942.70
  6. Step 6: Final answer
    x = 33,036.08

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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.