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Finding the Fourth Proportional to 82,696.92, 124,045.41 and 20,367.42

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Solution

The fourth proportional to 82,696.92, 124,045.41 and 20,367.42 is: 30,551.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,696.92 : 124,045.41 = 20,367.42 : x
  2. Step 2: Convert to fraction form
    82,696.92/124,045.41 = 20,367.42/x
  3. Step 3: Cross multiply
    82,696.92x = 124,045.41 × 20,367.42
  4. Step 4: Simplify right side
    82,696.92x = 2,526,484,964.54
  5. Step 5: Solve for x
    x = 2,526,484,964.54/82,696.92
  6. Step 6: Final answer
    x = 30,551.14

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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.