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Finding the Fourth Proportional to 83,814.72, 125,695.34 and 27,644.36

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Solution

The fourth proportional to 83,814.72, 125,695.34 and 27,644.36 is: 41,457.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,814.72 : 125,695.34 = 27,644.36 : x
  2. Step 2: Convert to fraction form
    83,814.72/125,695.34 = 27,644.36/x
  3. Step 3: Cross multiply
    83,814.72x = 125,695.34 × 27,644.36
  4. Step 4: Simplify right side
    83,814.72x = 3,474,766,462.58
  5. Step 5: Solve for x
    x = 3,474,766,462.58/83,814.72
  6. Step 6: Final answer
    x = 41,457.71

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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.