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Finding the Fourth Proportional to 40,246.82, 55,537.84 and 22,340.42

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Solution

The fourth proportional to 40,246.82, 55,537.84 and 22,340.42 is: 30,828.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,246.82 : 55,537.84 = 22,340.42 : x
  2. Step 2: Convert to fraction form
    40,246.82/55,537.84 = 22,340.42/x
  3. Step 3: Cross multiply
    40,246.82x = 55,537.84 × 22,340.42
  4. Step 4: Simplify right side
    40,246.82x = 1,240,738,754.49
  5. Step 5: Solve for x
    x = 1,240,738,754.49/40,246.82
  6. Step 6: Final answer
    x = 30,828.24

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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.