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Finding the Fourth Proportional to 37,079.10, 51,169.22 and 20,083.38

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Solution

The fourth proportional to 37,079.10, 51,169.22 and 20,083.38 is: 27,715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,079.10 : 51,169.22 = 20,083.38 : x
  2. Step 2: Convert to fraction form
    37,079.10/51,169.22 = 20,083.38/x
  3. Step 3: Cross multiply
    37,079.10x = 51,169.22 × 20,083.38
  4. Step 4: Simplify right side
    37,079.10x = 1,027,650,789.15
  5. Step 5: Solve for x
    x = 1,027,650,789.15/37,079.10
  6. Step 6: Final answer
    x = 27,715.10

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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.