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Finding the Fourth Proportional to 22,355, 33,532.50 and 5,939

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Solution

The fourth proportional to 22,355, 33,532.50 and 5,939 is: 8,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,355 : 33,532.50 = 5,939 : x
  2. Step 2: Convert to fraction form
    22,355/33,532.50 = 5,939/x
  3. Step 3: Cross multiply
    22,355x = 33,532.50 × 5,939
  4. Step 4: Simplify right side
    22,355x = 199,149,517.50
  5. Step 5: Solve for x
    x = 199,149,517.50/22,355
  6. Step 6: Final answer
    x = 8,908.50

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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.