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Finding the Fourth Proportional to 66,865.94, 100,305.57 and 24,757.28

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Solution

The fourth proportional to 66,865.94, 100,305.57 and 24,757.28 is: 37,138.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,865.94 : 100,305.57 = 24,757.28 : x
  2. Step 2: Convert to fraction form
    66,865.94/100,305.57 = 24,757.28/x
  3. Step 3: Cross multiply
    66,865.94x = 100,305.57 × 24,757.28
  4. Step 4: Simplify right side
    66,865.94x = 2,483,293,082.05
  5. Step 5: Solve for x
    x = 2,483,293,082.05/66,865.94
  6. Step 6: Final answer
    x = 37,138.39

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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.