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Finding the Fourth Proportional to 36,033.92, 54,050.88 and 11,408

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Solution

The fourth proportional to 36,033.92, 54,050.88 and 11,408 is: 17,112

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,033.92 : 54,050.88 = 11,408 : x
  2. Step 2: Convert to fraction form
    36,033.92/54,050.88 = 11,408/x
  3. Step 3: Cross multiply
    36,033.92x = 54,050.88 × 11,408
  4. Step 4: Simplify right side
    36,033.92x = 616,612,439.04
  5. Step 5: Solve for x
    x = 616,612,439.04/36,033.92
  6. Step 6: Final answer
    x = 17,112

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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.