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Finding the Fourth Proportional to 47,095.38, 65,049.12 and 35,211.42

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Solution

The fourth proportional to 47,095.38, 65,049.12 and 35,211.42 is: 48,634.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,095.38 : 65,049.12 = 35,211.42 : x
  2. Step 2: Convert to fraction form
    47,095.38/65,049.12 = 35,211.42/x
  3. Step 3: Cross multiply
    47,095.38x = 65,049.12 × 35,211.42
  4. Step 4: Simplify right side
    47,095.38x = 2,290,471,884.95
  5. Step 5: Solve for x
    x = 2,290,471,884.95/47,095.38
  6. Step 6: Final answer
    x = 48,634.75

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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.