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Finding the Fourth Proportional to 52,021.46, 71,792.16 and 31,879.46

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Solution

The fourth proportional to 52,021.46, 71,792.16 and 31,879.46 is: 43,995.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,021.46 : 71,792.16 = 31,879.46 : x
  2. Step 2: Convert to fraction form
    52,021.46/71,792.16 = 31,879.46/x
  3. Step 3: Cross multiply
    52,021.46x = 71,792.16 × 31,879.46
  4. Step 4: Simplify right side
    52,021.46x = 2,288,695,352.97
  5. Step 5: Solve for x
    x = 2,288,695,352.97/52,021.46
  6. Step 6: Final answer
    x = 43,995.21

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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.