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Finding the Fourth Proportional to 54,226.80, 81,437.40 and 39,452.40

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Solution

The fourth proportional to 54,226.80, 81,437.40 and 39,452.40 is: 59,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,226.80 : 81,437.40 = 39,452.40 : x
  2. Step 2: Convert to fraction form
    54,226.80/81,437.40 = 39,452.40/x
  3. Step 3: Cross multiply
    54,226.80x = 81,437.40 × 39,452.40
  4. Step 4: Simplify right side
    54,226.80x = 3,212,900,879.76
  5. Step 5: Solve for x
    x = 3,212,900,879.76/54,226.80
  6. Step 6: Final answer
    x = 59,249.32

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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.