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Finding the Fourth Proportional to 66,757.10, 92,148.03 and 41,283

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Solution

The fourth proportional to 66,757.10, 92,148.03 and 41,283 is: 56,984.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,757.10 : 92,148.03 = 41,283 : x
  2. Step 2: Convert to fraction form
    66,757.10/92,148.03 = 41,283/x
  3. Step 3: Cross multiply
    66,757.10x = 92,148.03 × 41,283
  4. Step 4: Simplify right side
    66,757.10x = 3,804,147,122.49
  5. Step 5: Solve for x
    x = 3,804,147,122.49/66,757.10
  6. Step 6: Final answer
    x = 56,984.91

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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.