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Finding the Fourth Proportional to 75,494, 104,184.96 and 41,960

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Solution

The fourth proportional to 75,494, 104,184.96 and 41,960 is: 57,906.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,494 : 104,184.96 = 41,960 : x
  2. Step 2: Convert to fraction form
    75,494/104,184.96 = 41,960/x
  3. Step 3: Cross multiply
    75,494x = 104,184.96 × 41,960
  4. Step 4: Simplify right side
    75,494x = 4,371,600,921.60
  5. Step 5: Solve for x
    x = 4,371,600,921.60/75,494
  6. Step 6: Final answer
    x = 57,906.60

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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.