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Finding the Fourth Proportional to 64,286.46, 96,436.03 and 22,161

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Solution

The fourth proportional to 64,286.46, 96,436.03 and 22,161 is: 33,243.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,286.46 : 96,436.03 = 22,161 : x
  2. Step 2: Convert to fraction form
    64,286.46/96,436.03 = 22,161/x
  3. Step 3: Cross multiply
    64,286.46x = 96,436.03 × 22,161
  4. Step 4: Simplify right side
    64,286.46x = 2,137,118,860.83
  5. Step 5: Solve for x
    x = 2,137,118,860.83/64,286.46
  6. Step 6: Final answer
    x = 33,243.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.