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Finding the Fourth Proportional to 45,436.32, 68,183.63 and 22,050

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Solution

The fourth proportional to 45,436.32, 68,183.63 and 22,050 is: 33,089.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,436.32 : 68,183.63 = 22,050 : x
  2. Step 2: Convert to fraction form
    45,436.32/68,183.63 = 22,050/x
  3. Step 3: Cross multiply
    45,436.32x = 68,183.63 × 22,050
  4. Step 4: Simplify right side
    45,436.32x = 1,503,449,041.50
  5. Step 5: Solve for x
    x = 1,503,449,041.50/45,436.32
  6. Step 6: Final answer
    x = 33,089.15

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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.