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Finding the Fourth Proportional to 37,167.65, 51,291.38 and 20,171.89

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Solution

The fourth proportional to 37,167.65, 51,291.38 and 20,171.89 is: 27,837.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,167.65 : 51,291.38 = 20,171.89 : x
  2. Step 2: Convert to fraction form
    37,167.65/51,291.38 = 20,171.89/x
  3. Step 3: Cross multiply
    37,167.65x = 51,291.38 × 20,171.89
  4. Step 4: Simplify right side
    37,167.65x = 1,034,643,717.99
  5. Step 5: Solve for x
    x = 1,034,643,717.99/37,167.65
  6. Step 6: Final answer
    x = 27,837.21

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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.