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Finding the Fourth Proportional to 54,758.50, 75,566.82 and 29,608

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Solution

The fourth proportional to 54,758.50, 75,566.82 and 29,608 is: 40,859.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,758.50 : 75,566.82 = 29,608 : x
  2. Step 2: Convert to fraction form
    54,758.50/75,566.82 = 29,608/x
  3. Step 3: Cross multiply
    54,758.50x = 75,566.82 × 29,608
  4. Step 4: Simplify right side
    54,758.50x = 2,237,382,406.56
  5. Step 5: Solve for x
    x = 2,237,382,406.56/54,758.50
  6. Step 6: Final answer
    x = 40,859.09

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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.