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Finding the Fourth Proportional to 64,162, 96,251.88 and 19,792.24

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Solution

The fourth proportional to 64,162, 96,251.88 and 19,792.24 is: 29,691.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,162 : 96,251.88 = 19,792.24 : x
  2. Step 2: Convert to fraction form
    64,162/96,251.88 = 19,792.24/x
  3. Step 3: Cross multiply
    64,162x = 96,251.88 × 19,792.24
  4. Step 4: Simplify right side
    64,162x = 1,905,040,309.41
  5. Step 5: Solve for x
    x = 1,905,040,309.41/64,162
  6. Step 6: Final answer
    x = 29,691.10

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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.