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Finding the Fourth Proportional to 54,053.87, 81,080.80 and 24,471.05

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Solution

The fourth proportional to 54,053.87, 81,080.80 and 24,471.05 is: 36,706.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,053.87 : 81,080.80 = 24,471.05 : x
  2. Step 2: Convert to fraction form
    54,053.87/81,080.80 = 24,471.05/x
  3. Step 3: Cross multiply
    54,053.87x = 81,080.80 × 24,471.05
  4. Step 4: Simplify right side
    54,053.87x = 1,984,131,844.26
  5. Step 5: Solve for x
    x = 1,984,131,844.26/54,053.87
  6. Step 6: Final answer
    x = 36,706.57

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Why These Related Problems?

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