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Finding the Fourth Proportional to 75,704.98, 104,471.47 and 41,716.57

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Solution

The fourth proportional to 75,704.98, 104,471.47 and 41,716.57 is: 57,568.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,704.98 : 104,471.47 = 41,716.57 : x
  2. Step 2: Convert to fraction form
    75,704.98/104,471.47 = 41,716.57/x
  3. Step 3: Cross multiply
    75,704.98x = 104,471.47 × 41,716.57
  4. Step 4: Simplify right side
    75,704.98x = 4,358,191,378.11
  5. Step 5: Solve for x
    x = 4,358,191,378.11/75,704.98
  6. Step 6: Final answer
    x = 57,568.09

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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.