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Finding the Fourth Proportional to 47,311.92, 65,318.04 and 31,418.16

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Solution

The fourth proportional to 47,311.92, 65,318.04 and 31,418.16 is: 43,375.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,311.92 : 65,318.04 = 31,418.16 : x
  2. Step 2: Convert to fraction form
    47,311.92/65,318.04 = 31,418.16/x
  3. Step 3: Cross multiply
    47,311.92x = 65,318.04 × 31,418.16
  4. Step 4: Simplify right side
    47,311.92x = 2,052,172,631.61
  5. Step 5: Solve for x
    x = 2,052,172,631.61/47,311.92
  6. Step 6: Final answer
    x = 43,375.38

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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.