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Finding the Fourth Proportional to 37,309.87, 51,491.25 and 27,862.03

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Solution

The fourth proportional to 37,309.87, 51,491.25 and 27,862.03 is: 38,452.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,309.87 : 51,491.25 = 27,862.03 : x
  2. Step 2: Convert to fraction form
    37,309.87/51,491.25 = 27,862.03/x
  3. Step 3: Cross multiply
    37,309.87x = 51,491.25 × 27,862.03
  4. Step 4: Simplify right side
    37,309.87x = 1,434,650,355.47
  5. Step 5: Solve for x
    x = 1,434,650,355.47/37,309.87
  6. Step 6: Final answer
    x = 38,452.31

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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.