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Finding the Fourth Proportional to 83,210.96, 124,790.52 and 27,794

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Solution

The fourth proportional to 83,210.96, 124,790.52 and 27,794 is: 41,682.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,210.96 : 124,790.52 = 27,794 : x
  2. Step 2: Convert to fraction form
    83,210.96/124,790.52 = 27,794/x
  3. Step 3: Cross multiply
    83,210.96x = 124,790.52 × 27,794
  4. Step 4: Simplify right side
    83,210.96x = 3,468,427,712.88
  5. Step 5: Solve for x
    x = 3,468,427,712.88/83,210.96
  6. Step 6: Final answer
    x = 41,682.34

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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.