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Finding the Fourth Proportional to 33,156.54, 49,745.70 and 13,424.40

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Solution

The fourth proportional to 33,156.54, 49,745.70 and 13,424.40 is: 20,141.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,156.54 : 49,745.70 = 13,424.40 : x
  2. Step 2: Convert to fraction form
    33,156.54/49,745.70 = 13,424.40/x
  3. Step 3: Cross multiply
    33,156.54x = 49,745.70 × 13,424.40
  4. Step 4: Simplify right side
    33,156.54x = 667,806,175.08
  5. Step 5: Solve for x
    x = 667,806,175.08/33,156.54
  6. Step 6: Final answer
    x = 20,141.01

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1.5x scale

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.