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Finding the Fourth Proportional to 24,775.65, 37,159.43 and 7,241.31

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Solution

The fourth proportional to 24,775.65, 37,159.43 and 7,241.31 is: 10,860.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,775.65 : 37,159.43 = 7,241.31 : x
  2. Step 2: Convert to fraction form
    24,775.65/37,159.43 = 7,241.31/x
  3. Step 3: Cross multiply
    24,775.65x = 37,159.43 × 7,241.31
  4. Step 4: Simplify right side
    24,775.65x = 269,082,915.85
  5. Step 5: Solve for x
    x = 269,082,915.85/24,775.65
  6. Step 6: Final answer
    x = 10,860.78

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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.