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Finding the Fourth Proportional to 33,164.44, 45,709.32 and 24,197.20

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Solution

The fourth proportional to 33,164.44, 45,709.32 and 24,197.20 is: 33,350.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,164.44 : 45,709.32 = 24,197.20 : x
  2. Step 2: Convert to fraction form
    33,164.44/45,709.32 = 24,197.20/x
  3. Step 3: Cross multiply
    33,164.44x = 45,709.32 × 24,197.20
  4. Step 4: Simplify right side
    33,164.44x = 1,106,037,557.90
  5. Step 5: Solve for x
    x = 1,106,037,557.90/33,164.44
  6. Step 6: Final answer
    x = 33,350.11

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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.