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Finding the Fourth Proportional to 37,617.38, 51,910.71 and 21,701.42

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Solution

The fourth proportional to 37,617.38, 51,910.71 and 21,701.42 is: 29,947.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,617.38 : 51,910.71 = 21,701.42 : x
  2. Step 2: Convert to fraction form
    37,617.38/51,910.71 = 21,701.42/x
  3. Step 3: Cross multiply
    37,617.38x = 51,910.71 × 21,701.42
  4. Step 4: Simplify right side
    37,617.38x = 1,126,536,120.21
  5. Step 5: Solve for x
    x = 1,126,536,120.21/37,617.38
  6. Step 6: Final answer
    x = 29,947.22

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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.