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Finding the Fourth Proportional to 45,448.80, 68,074.56 and 22,026

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Solution

The fourth proportional to 45,448.80, 68,074.56 and 22,026 is: 32,991.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,448.80 : 68,074.56 = 22,026 : x
  2. Step 2: Convert to fraction form
    45,448.80/68,074.56 = 22,026/x
  3. Step 3: Cross multiply
    45,448.80x = 68,074.56 × 22,026
  4. Step 4: Simplify right side
    45,448.80x = 1,499,410,258.56
  5. Step 5: Solve for x
    x = 1,499,410,258.56/45,448.80
  6. Step 6: Final answer
    x = 32,991.20

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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.