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Finding the Fourth Proportional to 106,314.77, 159,472.83 and 27,429.68

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Solution

The fourth proportional to 106,314.77, 159,472.83 and 27,429.68 is: 41,144.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,314.77 : 159,472.83 = 27,429.68 : x
  2. Step 2: Convert to fraction form
    106,314.77/159,472.83 = 27,429.68/x
  3. Step 3: Cross multiply
    106,314.77x = 159,472.83 × 27,429.68
  4. Step 4: Simplify right side
    106,314.77x = 4,374,288,695.59
  5. Step 5: Solve for x
    x = 4,374,288,695.59/106,314.77
  6. Step 6: Final answer
    x = 41,144.69

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1.5x scale

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.