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Finding the Fourth Proportional to 29,978.87, 41,370.90 and 16,550.14

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Solution

The fourth proportional to 29,978.87, 41,370.90 and 16,550.14 is: 22,839.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.87 : 41,370.90 = 16,550.14 : x
  2. Step 2: Convert to fraction form
    29,978.87/41,370.90 = 16,550.14/x
  3. Step 3: Cross multiply
    29,978.87x = 41,370.90 × 16,550.14
  4. Step 4: Simplify right side
    29,978.87x = 684,694,186.93
  5. Step 5: Solve for x
    x = 684,694,186.93/29,978.87
  6. Step 6: Final answer
    x = 22,839.23

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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.