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Finding the Fourth Proportional to 68,675.73, 102,989.43 and 32,647.74

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Solution

The fourth proportional to 68,675.73, 102,989.43 and 32,647.74 is: 48,960.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,675.73 : 102,989.43 = 32,647.74 : x
  2. Step 2: Convert to fraction form
    68,675.73/102,989.43 = 32,647.74/x
  3. Step 3: Cross multiply
    68,675.73x = 102,989.43 × 32,647.74
  4. Step 4: Simplify right side
    68,675.73x = 3,362,372,133.39
  5. Step 5: Solve for x
    x = 3,362,372,133.39/68,675.73
  6. Step 6: Final answer
    x = 48,960.12

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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.