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Finding the Fourth Proportional to 29,882.50, 41,224.01 and 19,275.55

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Solution

The fourth proportional to 29,882.50, 41,224.01 and 19,275.55 is: 26,591.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,882.50 : 41,224.01 = 19,275.55 : x
  2. Step 2: Convert to fraction form
    29,882.50/41,224.01 = 19,275.55/x
  3. Step 3: Cross multiply
    29,882.50x = 41,224.01 × 19,275.55
  4. Step 4: Simplify right side
    29,882.50x = 794,615,266.52
  5. Step 5: Solve for x
    x = 794,615,266.52/29,882.50
  6. Step 6: Final answer
    x = 26,591.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.