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Finding the Fourth Proportional to 75,574.54, 104,249.54 and 47,231.02

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Solution

The fourth proportional to 75,574.54, 104,249.54 and 47,231.02 is: 65,151.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,574.54 : 104,249.54 = 47,231.02 : x
  2. Step 2: Convert to fraction form
    75,574.54/104,249.54 = 47,231.02/x
  3. Step 3: Cross multiply
    75,574.54x = 104,249.54 × 47,231.02
  4. Step 4: Simplify right side
    75,574.54x = 4,923,811,505.04
  5. Step 5: Solve for x
    x = 4,923,811,505.04/75,574.54
  6. Step 6: Final answer
    x = 65,151.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.