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Finding the Fourth Proportional to 68,027.88, 93,883.14 and 47,877.24

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Solution

The fourth proportional to 68,027.88, 93,883.14 and 47,877.24 is: 66,073.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,027.88 : 93,883.14 = 47,877.24 : x
  2. Step 2: Convert to fraction form
    68,027.88/93,883.14 = 47,877.24/x
  3. Step 3: Cross multiply
    68,027.88x = 93,883.14 × 47,877.24
  4. Step 4: Simplify right side
    68,027.88x = 4,494,865,625.73
  5. Step 5: Solve for x
    x = 4,494,865,625.73/68,027.88
  6. Step 6: Final answer
    x = 66,073.87

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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.