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Finding the Fourth Proportional to 71,954.66, 107,922.27 and 19,367.30

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Solution

The fourth proportional to 71,954.66, 107,922.27 and 19,367.30 is: 29,048.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,954.66 : 107,922.27 = 19,367.30 : x
  2. Step 2: Convert to fraction form
    71,954.66/107,922.27 = 19,367.30/x
  3. Step 3: Cross multiply
    71,954.66x = 107,922.27 × 19,367.30
  4. Step 4: Simplify right side
    71,954.66x = 2,090,163,322.20
  5. Step 5: Solve for x
    x = 2,090,163,322.20/71,954.66
  6. Step 6: Final answer
    x = 29,048.34

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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.