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Finding the Fourth Proportional to 106,722.77, 160,107.91 and 31,844.21

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Solution

The fourth proportional to 106,722.77, 160,107.91 and 31,844.21 is: 47,773.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,722.77 : 160,107.91 = 31,844.21 : x
  2. Step 2: Convert to fraction form
    106,722.77/160,107.91 = 31,844.21/x
  3. Step 3: Cross multiply
    106,722.77x = 160,107.91 × 31,844.21
  4. Step 4: Simplify right side
    106,722.77x = 5,098,509,028.55
  5. Step 5: Solve for x
    x = 5,098,509,028.55/106,722.77
  6. Step 6: Final answer
    x = 47,773.40

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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.