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Finding the Fourth Proportional to 66,375.24, 99,559.62 and 24,819

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Solution

The fourth proportional to 66,375.24, 99,559.62 and 24,819 is: 37,227.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,375.24 : 99,559.62 = 24,819 : x
  2. Step 2: Convert to fraction form
    66,375.24/99,559.62 = 24,819/x
  3. Step 3: Cross multiply
    66,375.24x = 99,559.62 × 24,819
  4. Step 4: Simplify right side
    66,375.24x = 2,470,970,208.78
  5. Step 5: Solve for x
    x = 2,470,970,208.78/66,375.24
  6. Step 6: Final answer
    x = 37,227.29

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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.