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Finding the Fourth Proportional to 67,780.82, 101,539.94 and 32,745.08

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Solution

The fourth proportional to 67,780.82, 101,539.94 and 32,745.08 is: 49,054.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,780.82 : 101,539.94 = 32,745.08 : x
  2. Step 2: Convert to fraction form
    67,780.82/101,539.94 = 32,745.08/x
  3. Step 3: Cross multiply
    67,780.82x = 101,539.94 × 32,745.08
  4. Step 4: Simplify right side
    67,780.82x = 3,324,932,787.07
  5. Step 5: Solve for x
    x = 3,324,932,787.07/67,780.82
  6. Step 6: Final answer
    x = 49,054.19

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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.