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Finding the Fourth Proportional to 33,652.58, 50,469.16 and 11,465.47

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Solution

The fourth proportional to 33,652.58, 50,469.16 and 11,465.47 is: 17,194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,652.58 : 50,469.16 = 11,465.47 : x
  2. Step 2: Convert to fraction form
    33,652.58/50,469.16 = 11,465.47/x
  3. Step 3: Cross multiply
    33,652.58x = 50,469.16 × 11,465.47
  4. Step 4: Simplify right side
    33,652.58x = 578,652,568.95
  5. Step 5: Solve for x
    x = 578,652,568.95/33,652.58
  6. Step 6: Final answer
    x = 17,194.89

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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.