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Finding the Fourth Proportional to 33,101.96, 49,656.18 and 10,906.28

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Solution

The fourth proportional to 33,101.96, 49,656.18 and 10,906.28 is: 16,360.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,101.96 : 49,656.18 = 10,906.28 : x
  2. Step 2: Convert to fraction form
    33,101.96/49,656.18 = 10,906.28/x
  3. Step 3: Cross multiply
    33,101.96x = 49,656.18 × 10,906.28
  4. Step 4: Simplify right side
    33,101.96x = 541,564,202.81
  5. Step 5: Solve for x
    x = 541,564,202.81/33,101.96
  6. Step 6: Final answer
    x = 16,360.49

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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.