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Finding the Fourth Proportional to 71,875, 107,669.89 and 33,872.23

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Solution

The fourth proportional to 71,875, 107,669.89 and 33,872.23 is: 50,741.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,875 : 107,669.89 = 33,872.23 : x
  2. Step 2: Convert to fraction form
    71,875/107,669.89 = 33,872.23/x
  3. Step 3: Cross multiply
    71,875x = 107,669.89 × 33,872.23
  4. Step 4: Simplify right side
    71,875x = 3,647,019,108.79
  5. Step 5: Solve for x
    x = 3,647,019,108.79/71,875
  6. Step 6: Final answer
    x = 50,741.14

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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.