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Finding the Fourth Proportional to 23,043.96, 34,367.49 and 22,629.24

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Solution

The fourth proportional to 23,043.96, 34,367.49 and 22,629.24 is: 33,748.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,043.96 : 34,367.49 = 22,629.24 : x
  2. Step 2: Convert to fraction form
    23,043.96/34,367.49 = 22,629.24/x
  3. Step 3: Cross multiply
    23,043.96x = 34,367.49 × 22,629.24
  4. Step 4: Simplify right side
    23,043.96x = 777,710,179.41
  5. Step 5: Solve for x
    x = 777,710,179.41/23,043.96
  6. Step 6: Final answer
    x = 33,748.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.