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Finding the Fourth Proportional to 71,294.82, 98,408.75 and 41,100.32

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Solution

The fourth proportional to 71,294.82, 98,408.75 and 41,100.32 is: 56,731.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,294.82 : 98,408.75 = 41,100.32 : x
  2. Step 2: Convert to fraction form
    71,294.82/98,408.75 = 41,100.32/x
  3. Step 3: Cross multiply
    71,294.82x = 98,408.75 × 41,100.32
  4. Step 4: Simplify right side
    71,294.82x = 4,044,631,115.80
  5. Step 5: Solve for x
    x = 4,044,631,115.80/71,294.82
  6. Step 6: Final answer
    x = 56,731.07

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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.