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Finding the Fourth Proportional to 28,049.06, 42,071.92 and 10,517.42

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Solution

The fourth proportional to 28,049.06, 42,071.92 and 10,517.42 is: 15,775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,049.06 : 42,071.92 = 10,517.42 : x
  2. Step 2: Convert to fraction form
    28,049.06/42,071.92 = 10,517.42/x
  3. Step 3: Cross multiply
    28,049.06x = 42,071.92 × 10,517.42
  4. Step 4: Simplify right side
    28,049.06x = 442,488,052.85
  5. Step 5: Solve for x
    x = 442,488,052.85/28,049.06
  6. Step 6: Final answer
    x = 15,775.50

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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.