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Finding the Fourth Proportional to 54,189, 81,436.32 and 32,012.28

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Solution

The fourth proportional to 54,189, 81,436.32 and 32,012.28 is: 48,108.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,189 : 81,436.32 = 32,012.28 : x
  2. Step 2: Convert to fraction form
    54,189/81,436.32 = 32,012.28/x
  3. Step 3: Cross multiply
    54,189x = 81,436.32 × 32,012.28
  4. Step 4: Simplify right side
    54,189x = 2,606,962,278.01
  5. Step 5: Solve for x
    x = 2,606,962,278.01/54,189
  6. Step 6: Final answer
    x = 48,108.70

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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.