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Finding the Fourth Proportional to 61,634.88, 92,372.94 and 27,876.24

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Solution

The fourth proportional to 61,634.88, 92,372.94 and 27,876.24 is: 41,778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,634.88 : 92,372.94 = 27,876.24 : x
  2. Step 2: Convert to fraction form
    61,634.88/92,372.94 = 27,876.24/x
  3. Step 3: Cross multiply
    61,634.88x = 92,372.94 × 27,876.24
  4. Step 4: Simplify right side
    61,634.88x = 2,575,010,244.95
  5. Step 5: Solve for x
    x = 2,575,010,244.95/61,634.88
  6. Step 6: Final answer
    x = 41,778.46

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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.