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Finding the Fourth Proportional to 86,046.27, 129,049.94 and 32,719.23

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Solution

The fourth proportional to 86,046.27, 129,049.94 and 32,719.23 is: 49,071.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,046.27 : 129,049.94 = 32,719.23 : x
  2. Step 2: Convert to fraction form
    86,046.27/129,049.94 = 32,719.23/x
  3. Step 3: Cross multiply
    86,046.27x = 129,049.94 × 32,719.23
  4. Step 4: Simplify right side
    86,046.27x = 4,222,414,504.75
  5. Step 5: Solve for x
    x = 4,222,414,504.75/86,046.27
  6. Step 6: Final answer
    x = 49,071.44

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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.