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Finding the Fourth Proportional to 37,382.85, 51,591.41 and 21,255.24

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Solution

The fourth proportional to 37,382.85, 51,591.41 and 21,255.24 is: 29,333.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,382.85 : 51,591.41 = 21,255.24 : x
  2. Step 2: Convert to fraction form
    37,382.85/51,591.41 = 21,255.24/x
  3. Step 3: Cross multiply
    37,382.85x = 51,591.41 × 21,255.24
  4. Step 4: Simplify right side
    37,382.85x = 1,096,587,720.34
  5. Step 5: Solve for x
    x = 1,096,587,720.34/37,382.85
  6. Step 6: Final answer
    x = 29,333.98

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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.