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Finding the Fourth Proportional to 22,035, 33,052.50 and 5,619

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Solution

The fourth proportional to 22,035, 33,052.50 and 5,619 is: 8,428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,035 : 33,052.50 = 5,619 : x
  2. Step 2: Convert to fraction form
    22,035/33,052.50 = 5,619/x
  3. Step 3: Cross multiply
    22,035x = 33,052.50 × 5,619
  4. Step 4: Simplify right side
    22,035x = 185,721,997.50
  5. Step 5: Solve for x
    x = 185,721,997.50/22,035
  6. Step 6: Final answer
    x = 8,428.50

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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.