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Finding the Fourth Proportional to 54,202.25, 81,254.16 and 24,604.04

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Solution

The fourth proportional to 54,202.25, 81,254.16 and 24,604.04 is: 36,883.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,202.25 : 81,254.16 = 24,604.04 : x
  2. Step 2: Convert to fraction form
    54,202.25/81,254.16 = 24,604.04/x
  3. Step 3: Cross multiply
    54,202.25x = 81,254.16 × 24,604.04
  4. Step 4: Simplify right side
    54,202.25x = 1,999,180,196.54
  5. Step 5: Solve for x
    x = 1,999,180,196.54/54,202.25
  6. Step 6: Final answer
    x = 36,883.72

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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.