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Finding the Fourth Proportional to 83,410.77, 125,119.90 and 27,254.31

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Solution

The fourth proportional to 83,410.77, 125,119.90 and 27,254.31 is: 40,882.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,410.77 : 125,119.90 = 27,254.31 : x
  2. Step 2: Convert to fraction form
    83,410.77/125,119.90 = 27,254.31/x
  3. Step 3: Cross multiply
    83,410.77x = 125,119.90 × 27,254.31
  4. Step 4: Simplify right side
    83,410.77x = 3,410,056,541.77
  5. Step 5: Solve for x
    x = 3,410,056,541.77/83,410.77
  6. Step 6: Final answer
    x = 40,882.69

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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.