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Finding the Fourth Proportional to 37,309.93, 51,491.33 and 27,862.09

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Solution

The fourth proportional to 37,309.93, 51,491.33 and 27,862.09 is: 38,452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,309.93 : 51,491.33 = 27,862.09 : x
  2. Step 2: Convert to fraction form
    37,309.93/51,491.33 = 27,862.09/x
  3. Step 3: Cross multiply
    37,309.93x = 51,491.33 × 27,862.09
  4. Step 4: Simplify right side
    37,309.93x = 1,434,656,011.61
  5. Step 5: Solve for x
    x = 1,434,656,011.61/37,309.93
  6. Step 6: Final answer
    x = 38,452.39

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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.