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Finding the Fourth Proportional to 106,530.77, 159,857.21 and 43,339.23

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Solution

The fourth proportional to 106,530.77, 159,857.21 and 43,339.23 is: 65,033.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,530.77 : 159,857.21 = 43,339.23 : x
  2. Step 2: Convert to fraction form
    106,530.77/159,857.21 = 43,339.23/x
  3. Step 3: Cross multiply
    106,530.77x = 159,857.21 × 43,339.23
  4. Step 4: Simplify right side
    106,530.77x = 6,928,087,937.53
  5. Step 5: Solve for x
    x = 6,928,087,937.53/106,530.77
  6. Step 6: Final answer
    x = 65,033.68

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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.