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Finding the Fourth Proportional to 75,472.81, 104,152.70 and 41,484.78

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Solution

The fourth proportional to 75,472.81, 104,152.70 and 41,484.78 is: 57,249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,472.81 : 104,152.70 = 41,484.78 : x
  2. Step 2: Convert to fraction form
    75,472.81/104,152.70 = 41,484.78/x
  3. Step 3: Cross multiply
    75,472.81x = 104,152.70 × 41,484.78
  4. Step 4: Simplify right side
    75,472.81x = 4,320,751,716.27
  5. Step 5: Solve for x
    x = 4,320,751,716.27/75,472.81
  6. Step 6: Final answer
    x = 57,249.12

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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.