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Finding the Fourth Proportional to 33,168, 45,811.20 and 24,200.64

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Solution

The fourth proportional to 33,168, 45,811.20 and 24,200.64 is: 33,425.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,168 : 45,811.20 = 24,200.64 : x
  2. Step 2: Convert to fraction form
    33,168/45,811.20 = 24,200.64/x
  3. Step 3: Cross multiply
    33,168x = 45,811.20 × 24,200.64
  4. Step 4: Simplify right side
    33,168x = 1,108,660,359.17
  5. Step 5: Solve for x
    x = 1,108,660,359.17/33,168
  6. Step 6: Final answer
    x = 33,425.60

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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.