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Finding the Fourth Proportional to 73,265.16, 109,916.22 and 33,850.14

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Solution

The fourth proportional to 73,265.16, 109,916.22 and 33,850.14 is: 50,783.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,265.16 : 109,916.22 = 33,850.14 : x
  2. Step 2: Convert to fraction form
    73,265.16/109,916.22 = 33,850.14/x
  3. Step 3: Cross multiply
    73,265.16x = 109,916.22 × 33,850.14
  4. Step 4: Simplify right side
    73,265.16x = 3,720,679,435.27
  5. Step 5: Solve for x
    x = 3,720,679,435.27/73,265.16
  6. Step 6: Final answer
    x = 50,783.75

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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.