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Finding the Fourth Proportional to 22,046.18, 33,069.36 and 5,406.32

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Solution

The fourth proportional to 22,046.18, 33,069.36 and 5,406.32 is: 8,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,046.18 : 33,069.36 = 5,406.32 : x
  2. Step 2: Convert to fraction form
    22,046.18/33,069.36 = 5,406.32/x
  3. Step 3: Cross multiply
    22,046.18x = 33,069.36 × 5,406.32
  4. Step 4: Simplify right side
    22,046.18x = 178,783,542.36
  5. Step 5: Solve for x
    x = 178,783,542.36/22,046.18
  6. Step 6: Final answer
    x = 8,109.50

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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.