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Finding the Fourth Proportional to 33,164.62, 49,745.30 and 12,386.50

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Solution

The fourth proportional to 33,164.62, 49,745.30 and 12,386.50 is: 18,579.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,164.62 : 49,745.30 = 12,386.50 : x
  2. Step 2: Convert to fraction form
    33,164.62/49,745.30 = 12,386.50/x
  3. Step 3: Cross multiply
    33,164.62x = 49,745.30 × 12,386.50
  4. Step 4: Simplify right side
    33,164.62x = 616,170,158.45
  5. Step 5: Solve for x
    x = 616,170,158.45/33,164.62
  6. Step 6: Final answer
    x = 18,579.14

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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.