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Finding the Fourth Proportional to 34,882.38, 48,141.72 and 20,735.10

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Solution

The fourth proportional to 34,882.38, 48,141.72 and 20,735.10 is: 28,616.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,882.38 : 48,141.72 = 20,735.10 : x
  2. Step 2: Convert to fraction form
    34,882.38/48,141.72 = 20,735.10/x
  3. Step 3: Cross multiply
    34,882.38x = 48,141.72 × 20,735.10
  4. Step 4: Simplify right side
    34,882.38x = 998,223,378.37
  5. Step 5: Solve for x
    x = 998,223,378.37/34,882.38
  6. Step 6: Final answer
    x = 28,616.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.