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Finding the Fourth Proportional to 22,074.26, 33,111.72 and 5,434.28

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Solution

The fourth proportional to 22,074.26, 33,111.72 and 5,434.28 is: 8,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,074.26 : 33,111.72 = 5,434.28 : x
  2. Step 2: Convert to fraction form
    22,074.26/33,111.72 = 5,434.28/x
  3. Step 3: Cross multiply
    22,074.26x = 33,111.72 × 5,434.28
  4. Step 4: Simplify right side
    22,074.26x = 179,938,357.76
  5. Step 5: Solve for x
    x = 179,938,357.76/22,074.26
  6. Step 6: Final answer
    x = 8,151.50

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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.