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Finding the Fourth Proportional to 86,582.70, 129,861.90 and 27,424.35

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Solution

The fourth proportional to 86,582.70, 129,861.90 and 27,424.35 is: 41,132.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,582.70 : 129,861.90 = 27,424.35 : x
  2. Step 2: Convert to fraction form
    86,582.70/129,861.90 = 27,424.35/x
  3. Step 3: Cross multiply
    86,582.70x = 129,861.90 × 27,424.35
  4. Step 4: Simplify right side
    86,582.70x = 3,561,378,197.27
  5. Step 5: Solve for x
    x = 3,561,378,197.27/86,582.70
  6. Step 6: Final answer
    x = 41,132.68

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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.