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Finding the Fourth Proportional to 39,227.14, 54,131.20 and 21,322

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Solution

The fourth proportional to 39,227.14, 54,131.20 and 21,322 is: 29,423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,227.14 : 54,131.20 = 21,322 : x
  2. Step 2: Convert to fraction form
    39,227.14/54,131.20 = 21,322/x
  3. Step 3: Cross multiply
    39,227.14x = 54,131.20 × 21,322
  4. Step 4: Simplify right side
    39,227.14x = 1,154,185,446.40
  5. Step 5: Solve for x
    x = 1,154,185,446.40/39,227.14
  6. Step 6: Final answer
    x = 29,423.14

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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.