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Finding the Fourth Proportional to 70,865.56, 106,092.42 and 41,192.92

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Solution

The fourth proportional to 70,865.56, 106,092.42 and 41,192.92 is: 61,669.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,865.56 : 106,092.42 = 41,192.92 : x
  2. Step 2: Convert to fraction form
    70,865.56/106,092.42 = 41,192.92/x
  3. Step 3: Cross multiply
    70,865.56x = 106,092.42 × 41,192.92
  4. Step 4: Simplify right side
    70,865.56x = 4,370,256,569.67
  5. Step 5: Solve for x
    x = 4,370,256,569.67/70,865.56
  6. Step 6: Final answer
    x = 61,669.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.