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Finding the Fourth Proportional to 31,879.50, 47,820.95 and 9,691.19

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Solution

The fourth proportional to 31,879.50, 47,820.95 and 9,691.19 is: 14,537.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,879.50 : 47,820.95 = 9,691.19 : x
  2. Step 2: Convert to fraction form
    31,879.50/47,820.95 = 9,691.19/x
  3. Step 3: Cross multiply
    31,879.50x = 47,820.95 × 9,691.19
  4. Step 4: Simplify right side
    31,879.50x = 463,441,624.87
  5. Step 5: Solve for x
    x = 463,441,624.87/31,879.50
  6. Step 6: Final answer
    x = 14,537.29

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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.