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Finding the Fourth Proportional to 33,122.64, 45,698.10 and 22,493.82

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Solution

The fourth proportional to 33,122.64, 45,698.10 and 22,493.82 is: 31,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,122.64 : 45,698.10 = 22,493.82 : x
  2. Step 2: Convert to fraction form
    33,122.64/45,698.10 = 22,493.82/x
  3. Step 3: Cross multiply
    33,122.64x = 45,698.10 × 22,493.82
  4. Step 4: Simplify right side
    33,122.64x = 1,027,924,835.74
  5. Step 5: Solve for x
    x = 1,027,924,835.74/33,122.64
  6. Step 6: Final answer
    x = 31,033.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.