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Finding the Fourth Proportional to 66,942.40, 100,408.16 and 22,568.20

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Solution

The fourth proportional to 66,942.40, 100,408.16 and 22,568.20 is: 33,850.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,942.40 : 100,408.16 = 22,568.20 : x
  2. Step 2: Convert to fraction form
    66,942.40/100,408.16 = 22,568.20/x
  3. Step 3: Cross multiply
    66,942.40x = 100,408.16 × 22,568.20
  4. Step 4: Simplify right side
    66,942.40x = 2,266,031,436.51
  5. Step 5: Solve for x
    x = 2,266,031,436.51/66,942.40
  6. Step 6: Final answer
    x = 33,850.47

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1.5x scale

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.