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Finding the Fourth Proportional to 34,859.52, 52,286.88 and 20,057.52

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Solution

The fourth proportional to 34,859.52, 52,286.88 and 20,057.52 is: 30,084.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,859.52 : 52,286.88 = 20,057.52 : x
  2. Step 2: Convert to fraction form
    34,859.52/52,286.88 = 20,057.52/x
  3. Step 3: Cross multiply
    34,859.52x = 52,286.88 × 20,057.52
  4. Step 4: Simplify right side
    34,859.52x = 1,048,745,141.34
  5. Step 5: Solve for x
    x = 1,048,745,141.34/34,859.52
  6. Step 6: Final answer
    x = 30,084.90

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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.