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Finding the Fourth Proportional to 68,238.97, 102,337.80 and 23,857.45

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Solution

The fourth proportional to 68,238.97, 102,337.80 and 23,857.45 is: 35,778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,238.97 : 102,337.80 = 23,857.45 : x
  2. Step 2: Convert to fraction form
    68,238.97/102,337.80 = 23,857.45/x
  3. Step 3: Cross multiply
    68,238.97x = 102,337.80 × 23,857.45
  4. Step 4: Simplify right side
    68,238.97x = 2,441,518,601.30
  5. Step 5: Solve for x
    x = 2,441,518,601.30/68,238.97
  6. Step 6: Final answer
    x = 35,778.95

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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.