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Finding the Fourth Proportional to 33,102.68, 49,655.53 and 10,917.99

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Solution

The fourth proportional to 33,102.68, 49,655.53 and 10,917.99 is: 16,377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102.68 : 49,655.53 = 10,917.99 : x
  2. Step 2: Convert to fraction form
    33,102.68/49,655.53 = 10,917.99/x
  3. Step 3: Cross multiply
    33,102.68x = 49,655.53 × 10,917.99
  4. Step 4: Simplify right side
    33,102.68x = 542,138,593.63
  5. Step 5: Solve for x
    x = 542,138,593.63/33,102.68
  6. Step 6: Final answer
    x = 16,377.49

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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.