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Finding the Fourth Proportional to 71,619.75, 107,429.67 and 22,371.75

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Solution

The fourth proportional to 71,619.75, 107,429.67 and 22,371.75 is: 33,557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,619.75 : 107,429.67 = 22,371.75 : x
  2. Step 2: Convert to fraction form
    71,619.75/107,429.67 = 22,371.75/x
  3. Step 3: Cross multiply
    71,619.75x = 107,429.67 × 22,371.75
  4. Step 4: Simplify right side
    71,619.75x = 2,403,389,719.82
  5. Step 5: Solve for x
    x = 2,403,389,719.82/71,619.75
  6. Step 6: Final answer
    x = 33,557.64

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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.