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Finding the Fourth Proportional to 40,645.24, 60,878.54 and 33,544.78

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Solution

The fourth proportional to 40,645.24, 60,878.54 and 33,544.78 is: 50,243.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,645.24 : 60,878.54 = 33,544.78 : x
  2. Step 2: Convert to fraction form
    40,645.24/60,878.54 = 33,544.78/x
  3. Step 3: Cross multiply
    40,645.24x = 60,878.54 × 33,544.78
  4. Step 4: Simplify right side
    40,645.24x = 2,042,157,231.02
  5. Step 5: Solve for x
    x = 2,042,157,231.02/40,645.24
  6. Step 6: Final answer
    x = 50,243.45

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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.