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Finding the Fourth Proportional to 82,418.50, 123,616.68 and 23,258.92

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Solution

The fourth proportional to 82,418.50, 123,616.68 and 23,258.92 is: 34,885.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,418.50 : 123,616.68 = 23,258.92 : x
  2. Step 2: Convert to fraction form
    82,418.50/123,616.68 = 23,258.92/x
  3. Step 3: Cross multiply
    82,418.50x = 123,616.68 × 23,258.92
  4. Step 4: Simplify right side
    82,418.50x = 2,875,190,470.79
  5. Step 5: Solve for x
    x = 2,875,190,470.79/82,418.50
  6. Step 6: Final answer
    x = 34,885.26

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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.