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Finding the Fourth Proportional to 68,221.60, 102,350.40 and 23,848.24

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Solution

The fourth proportional to 68,221.60, 102,350.40 and 23,848.24 is: 35,778.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,221.60 : 102,350.40 = 23,848.24 : x
  2. Step 2: Convert to fraction form
    68,221.60/102,350.40 = 23,848.24/x
  3. Step 3: Cross multiply
    68,221.60x = 102,350.40 × 23,848.24
  4. Step 4: Simplify right side
    68,221.60x = 2,440,876,903.30
  5. Step 5: Solve for x
    x = 2,440,876,903.30/68,221.60
  6. Step 6: Final answer
    x = 35,778.65

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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.