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Finding the Fourth Proportional to 47,454.38, 65,481.35 and 26,230.76

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Solution

The fourth proportional to 47,454.38, 65,481.35 and 26,230.76 is: 36,195.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,454.38 : 65,481.35 = 26,230.76 : x
  2. Step 2: Convert to fraction form
    47,454.38/65,481.35 = 26,230.76/x
  3. Step 3: Cross multiply
    47,454.38x = 65,481.35 × 26,230.76
  4. Step 4: Simplify right side
    47,454.38x = 1,717,625,314.50
  5. Step 5: Solve for x
    x = 1,717,625,314.50/47,454.38
  6. Step 6: Final answer
    x = 36,195.30

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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.