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Finding the Fourth Proportional to 81,882.82, 113,000.50 and 46,074.11

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Solution

The fourth proportional to 81,882.82, 113,000.50 and 46,074.11 is: 63,583.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,882.82 : 113,000.50 = 46,074.11 : x
  2. Step 2: Convert to fraction form
    81,882.82/113,000.50 = 46,074.11/x
  3. Step 3: Cross multiply
    81,882.82x = 113,000.50 × 46,074.11
  4. Step 4: Simplify right side
    81,882.82x = 5,206,396,959.65
  5. Step 5: Solve for x
    x = 5,206,396,959.65/81,882.82
  6. Step 6: Final answer
    x = 63,583.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.