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Finding the Fourth Proportional to 39,825.60, 54,959.70 and 21,921

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Solution

The fourth proportional to 39,825.60, 54,959.70 and 21,921 is: 30,251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,825.60 : 54,959.70 = 21,921 : x
  2. Step 2: Convert to fraction form
    39,825.60/54,959.70 = 21,921/x
  3. Step 3: Cross multiply
    39,825.60x = 54,959.70 × 21,921
  4. Step 4: Simplify right side
    39,825.60x = 1,204,771,583.70
  5. Step 5: Solve for x
    x = 1,204,771,583.70/39,825.60
  6. Step 6: Final answer
    x = 30,251.18

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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.