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Finding the Fourth Proportional to 71,954.10, 107,921.70 and 22,039.20

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Solution

The fourth proportional to 71,954.10, 107,921.70 and 22,039.20 is: 33,055.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,954.10 : 107,921.70 = 22,039.20 : x
  2. Step 2: Convert to fraction form
    71,954.10/107,921.70 = 22,039.20/x
  3. Step 3: Cross multiply
    71,954.10x = 107,921.70 × 22,039.20
  4. Step 4: Simplify right side
    71,954.10x = 2,378,507,930.64
  5. Step 5: Solve for x
    x = 2,378,507,930.64/71,954.10
  6. Step 6: Final answer
    x = 33,055.91

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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.