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Finding the Fourth Proportional to 106,588.25, 159,847.73 and 35,491.77

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Solution

The fourth proportional to 106,588.25, 159,847.73 and 35,491.77 is: 53,226.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,588.25 : 159,847.73 = 35,491.77 : x
  2. Step 2: Convert to fraction form
    106,588.25/159,847.73 = 35,491.77/x
  3. Step 3: Cross multiply
    106,588.25x = 159,847.73 × 35,491.77
  4. Step 4: Simplify right side
    106,588.25x = 5,673,278,823.82
  5. Step 5: Solve for x
    x = 5,673,278,823.82/106,588.25
  6. Step 6: Final answer
    x = 53,226.12

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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.