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Finding the Fourth Proportional to 47,391.74, 65,400.36 and 26,171

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Solution

The fourth proportional to 47,391.74, 65,400.36 and 26,171 is: 36,115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,391.74 : 65,400.36 = 26,171 : x
  2. Step 2: Convert to fraction form
    47,391.74/65,400.36 = 26,171/x
  3. Step 3: Cross multiply
    47,391.74x = 65,400.36 × 26,171
  4. Step 4: Simplify right side
    47,391.74x = 1,711,592,821.56
  5. Step 5: Solve for x
    x = 1,711,592,821.56/47,391.74
  6. Step 6: Final answer
    x = 36,115.85

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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.