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Finding the Fourth Proportional to 33,178.80, 49,760.64 and 9,799.68

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Solution

The fourth proportional to 33,178.80, 49,760.64 and 9,799.68 is: 14,697.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,178.80 : 49,760.64 = 9,799.68 : x
  2. Step 2: Convert to fraction form
    33,178.80/49,760.64 = 9,799.68/x
  3. Step 3: Cross multiply
    33,178.80x = 49,760.64 × 9,799.68
  4. Step 4: Simplify right side
    33,178.80x = 487,638,348.60
  5. Step 5: Solve for x
    x = 487,638,348.60/33,178.80
  6. Step 6: Final answer
    x = 14,697.29

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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.