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Finding the Fourth Proportional to 106,658.55, 159,970.31 and 35,581.73

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Solution

The fourth proportional to 106,658.55, 159,970.31 and 35,581.73 is: 53,366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,658.55 : 159,970.31 = 35,581.73 : x
  2. Step 2: Convert to fraction form
    106,658.55/159,970.31 = 35,581.73/x
  3. Step 3: Cross multiply
    106,658.55x = 159,970.31 × 35,581.73
  4. Step 4: Simplify right side
    106,658.55x = 5,692,019,400.68
  5. Step 5: Solve for x
    x = 5,692,019,400.68/106,658.55
  6. Step 6: Final answer
    x = 53,366.74

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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.