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Finding the Fourth Proportional to 75,898.72, 104,737.39 and 41,906.46

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Solution

The fourth proportional to 75,898.72, 104,737.39 and 41,906.46 is: 57,829.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,898.72 : 104,737.39 = 41,906.46 : x
  2. Step 2: Convert to fraction form
    75,898.72/104,737.39 = 41,906.46/x
  3. Step 3: Cross multiply
    75,898.72x = 104,737.39 × 41,906.46
  4. Step 4: Simplify right side
    75,898.72x = 4,389,173,532.54
  5. Step 5: Solve for x
    x = 4,389,173,532.54/75,898.72
  6. Step 6: Final answer
    x = 57,829.35

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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.