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Finding the Fourth Proportional to 75,622.38, 104,355.27 and 41,630.16

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Solution

The fourth proportional to 75,622.38, 104,355.27 and 41,630.16 is: 57,447.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,622.38 : 104,355.27 = 41,630.16 : x
  2. Step 2: Convert to fraction form
    75,622.38/104,355.27 = 41,630.16/x
  3. Step 3: Cross multiply
    75,622.38x = 104,355.27 × 41,630.16
  4. Step 4: Simplify right side
    75,622.38x = 4,344,326,586.94
  5. Step 5: Solve for x
    x = 4,344,326,586.94/75,622.38
  6. Step 6: Final answer
    x = 57,447.63

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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.