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Finding the Fourth Proportional to 75,872.63, 104,704.22 and 41,881.12

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Solution

The fourth proportional to 75,872.63, 104,704.22 and 41,881.12 is: 57,795.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,872.63 : 104,704.22 = 41,881.12 : x
  2. Step 2: Convert to fraction form
    75,872.63/104,704.22 = 41,881.12/x
  3. Step 3: Cross multiply
    75,872.63x = 104,704.22 × 41,881.12
  4. Step 4: Simplify right side
    75,872.63x = 4,385,129,845.27
  5. Step 5: Solve for x
    x = 4,385,129,845.27/75,872.63
  6. Step 6: Final answer
    x = 57,795.94

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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.