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Finding the Fourth Proportional to 54,713.83, 82,069.12 and 22,689.67

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Solution

The fourth proportional to 54,713.83, 82,069.12 and 22,689.67 is: 34,033.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,713.83 : 82,069.12 = 22,689.67 : x
  2. Step 2: Convert to fraction form
    54,713.83/82,069.12 = 22,689.67/x
  3. Step 3: Cross multiply
    54,713.83x = 82,069.12 × 22,689.67
  4. Step 4: Simplify right side
    54,713.83x = 1,862,121,249.99
  5. Step 5: Solve for x
    x = 1,862,121,249.99/54,713.83
  6. Step 6: Final answer
    x = 34,033.83

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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.