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Finding the Fourth Proportional to 107,297.28, 160,963.20 and 33,408

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Solution

The fourth proportional to 107,297.28, 160,963.20 and 33,408 is: 50,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,297.28 : 160,963.20 = 33,408 : x
  2. Step 2: Convert to fraction form
    107,297.28/160,963.20 = 33,408/x
  3. Step 3: Cross multiply
    107,297.28x = 160,963.20 × 33,408
  4. Step 4: Simplify right side
    107,297.28x = 5,377,458,585.60
  5. Step 5: Solve for x
    x = 5,377,458,585.60/107,297.28
  6. Step 6: Final answer
    x = 50,117.38

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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.