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Finding the Fourth Proportional to 83,833.23, 125,723.17 and 27,662.87

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Solution

The fourth proportional to 83,833.23, 125,723.17 and 27,662.87 is: 41,485.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,833.23 : 125,723.17 = 27,662.87 : x
  2. Step 2: Convert to fraction form
    83,833.23/125,723.17 = 27,662.87/x
  3. Step 3: Cross multiply
    83,833.23x = 125,723.17 × 27,662.87
  4. Step 4: Simplify right side
    83,833.23x = 3,477,863,707.70
  5. Step 5: Solve for x
    x = 3,477,863,707.70/83,833.23
  6. Step 6: Final answer
    x = 41,485.50

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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.