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Finding the Fourth Proportional to 75,466.46, 104,144.66 and 41,478.66

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Solution

The fourth proportional to 75,466.46, 104,144.66 and 41,478.66 is: 57,241.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,466.46 : 104,144.66 = 41,478.66 : x
  2. Step 2: Convert to fraction form
    75,466.46/104,144.66 = 41,478.66/x
  3. Step 3: Cross multiply
    75,466.46x = 104,144.66 × 41,478.66
  4. Step 4: Simplify right side
    75,466.46x = 4,319,780,942.96
  5. Step 5: Solve for x
    x = 4,319,780,942.96/75,466.46
  6. Step 6: Final answer
    x = 57,241.07

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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.