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Finding the Fourth Proportional to 64,494.96, 96,643.80 and 27,034.61

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Solution

The fourth proportional to 64,494.96, 96,643.80 and 27,034.61 is: 40,510.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,494.96 : 96,643.80 = 27,034.61 : x
  2. Step 2: Convert to fraction form
    64,494.96/96,643.80 = 27,034.61/x
  3. Step 3: Cross multiply
    64,494.96x = 96,643.80 × 27,034.61
  4. Step 4: Simplify right side
    64,494.96x = 2,612,726,958.70
  5. Step 5: Solve for x
    x = 2,612,726,958.70/64,494.96
  6. Step 6: Final answer
    x = 40,510.56

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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.