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Finding the Fourth Proportional to 66,727.52, 92,082.84 and 36,512

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Solution

The fourth proportional to 66,727.52, 92,082.84 and 36,512 is: 50,385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,727.52 : 92,082.84 = 36,512 : x
  2. Step 2: Convert to fraction form
    66,727.52/92,082.84 = 36,512/x
  3. Step 3: Cross multiply
    66,727.52x = 92,082.84 × 36,512
  4. Step 4: Simplify right side
    66,727.52x = 3,362,128,654.08
  5. Step 5: Solve for x
    x = 3,362,128,654.08/66,727.52
  6. Step 6: Final answer
    x = 50,385.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.