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Finding the Fourth Proportional to 83,236, 124,827.96 and 27,819.04

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Solution

The fourth proportional to 83,236, 124,827.96 and 27,819.04 is: 41,719.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,236 : 124,827.96 = 27,819.04 : x
  2. Step 2: Convert to fraction form
    83,236/124,827.96 = 27,819.04/x
  3. Step 3: Cross multiply
    83,236x = 124,827.96 × 27,819.04
  4. Step 4: Simplify right side
    83,236x = 3,472,594,012.36
  5. Step 5: Solve for x
    x = 3,472,594,012.36/83,236
  6. Step 6: Final answer
    x = 41,719.86

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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.