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Finding the Fourth Proportional to 24,375, 36,562.70 and 5,907

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Solution

The fourth proportional to 24,375, 36,562.70 and 5,907 is: 8,860.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,375 : 36,562.70 = 5,907 : x
  2. Step 2: Convert to fraction form
    24,375/36,562.70 = 5,907/x
  3. Step 3: Cross multiply
    24,375x = 36,562.70 × 5,907
  4. Step 4: Simplify right side
    24,375x = 215,975,868.90
  5. Step 5: Solve for x
    x = 215,975,868.90/24,375
  6. Step 6: Final answer
    x = 8,860.55

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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.