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Finding the Fourth Proportional to 49,770, 68,685.84 and 33,006.24

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Solution

The fourth proportional to 49,770, 68,685.84 and 33,006.24 is: 45,550.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,770 : 68,685.84 = 33,006.24 : x
  2. Step 2: Convert to fraction form
    49,770/68,685.84 = 33,006.24/x
  3. Step 3: Cross multiply
    49,770x = 68,685.84 × 33,006.24
  4. Step 4: Simplify right side
    49,770x = 2,267,061,319.64
  5. Step 5: Solve for x
    x = 2,267,061,319.64/49,770
  6. Step 6: Final answer
    x = 45,550.76

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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.