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Finding the Fourth Proportional to 74,107.82, 111,082.02 and 32,007.70

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Solution

The fourth proportional to 74,107.82, 111,082.02 and 32,007.70 is: 47,977.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,107.82 : 111,082.02 = 32,007.70 : x
  2. Step 2: Convert to fraction form
    74,107.82/111,082.02 = 32,007.70/x
  3. Step 3: Cross multiply
    74,107.82x = 111,082.02 × 32,007.70
  4. Step 4: Simplify right side
    74,107.82x = 3,555,479,971.55
  5. Step 5: Solve for x
    x = 3,555,479,971.55/74,107.82
  6. Step 6: Final answer
    x = 47,977.12

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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.