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Finding the Fourth Proportional to 68,441.80, 102,720.30 and 33,411.40

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Solution

The fourth proportional to 68,441.80, 102,720.30 and 33,411.40 is: 50,145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,441.80 : 102,720.30 = 33,411.40 : x
  2. Step 2: Convert to fraction form
    68,441.80/102,720.30 = 33,411.40/x
  3. Step 3: Cross multiply
    68,441.80x = 102,720.30 × 33,411.40
  4. Step 4: Simplify right side
    68,441.80x = 3,432,029,031.42
  5. Step 5: Solve for x
    x = 3,432,029,031.42/68,441.80
  6. Step 6: Final answer
    x = 50,145.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.