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Finding the Fourth Proportional to 106,707.80, 160,069.83 and 31,822.10

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Solution

The fourth proportional to 106,707.80, 160,069.83 and 31,822.10 is: 47,735.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,707.80 : 160,069.83 = 31,822.10 : x
  2. Step 2: Convert to fraction form
    106,707.80/160,069.83 = 31,822.10/x
  3. Step 3: Cross multiply
    106,707.80x = 160,069.83 × 31,822.10
  4. Step 4: Simplify right side
    106,707.80x = 5,093,758,137.24
  5. Step 5: Solve for x
    x = 5,093,758,137.24/106,707.80
  6. Step 6: Final answer
    x = 47,735.57

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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.