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Finding the Fourth Proportional to 68,093.73, 102,140.64 and 21,350.25

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Solution

The fourth proportional to 68,093.73, 102,140.64 and 21,350.25 is: 32,025.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,093.73 : 102,140.64 = 21,350.25 : x
  2. Step 2: Convert to fraction form
    68,093.73/102,140.64 = 21,350.25/x
  3. Step 3: Cross multiply
    68,093.73x = 102,140.64 × 21,350.25
  4. Step 4: Simplify right side
    68,093.73x = 2,180,728,199.16
  5. Step 5: Solve for x
    x = 2,180,728,199.16/68,093.73
  6. Step 6: Final answer
    x = 32,025.39

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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.