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Finding the Fourth Proportional to 71,106.24, 106,659.79 and 23,721.22

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Solution

The fourth proportional to 71,106.24, 106,659.79 and 23,721.22 is: 35,581.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,106.24 : 106,659.79 = 23,721.22 : x
  2. Step 2: Convert to fraction form
    71,106.24/106,659.79 = 23,721.22/x
  3. Step 3: Cross multiply
    71,106.24x = 106,659.79 × 23,721.22
  4. Step 4: Simplify right side
    71,106.24x = 2,530,100,417.77
  5. Step 5: Solve for x
    x = 2,530,100,417.77/71,106.24
  6. Step 6: Final answer
    x = 35,581.97

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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.