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Finding the Fourth Proportional to 54,520.30, 81,719.70 and 21,229.30

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Solution

The fourth proportional to 54,520.30, 81,719.70 and 21,229.30 is: 31,820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,520.30 : 81,719.70 = 21,229.30 : x
  2. Step 2: Convert to fraction form
    54,520.30/81,719.70 = 21,229.30/x
  3. Step 3: Cross multiply
    54,520.30x = 81,719.70 × 21,229.30
  4. Step 4: Simplify right side
    54,520.30x = 1,734,852,027.21
  5. Step 5: Solve for x
    x = 1,734,852,027.21/54,520.30
  6. Step 6: Final answer
    x = 31,820.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.