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Finding the Fourth Proportional to 33,224, 45,849.16 and 18,320

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Solution

The fourth proportional to 33,224, 45,849.16 and 18,320 is: 25,281.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,224 : 45,849.16 = 18,320 : x
  2. Step 2: Convert to fraction form
    33,224/45,849.16 = 18,320/x
  3. Step 3: Cross multiply
    33,224x = 45,849.16 × 18,320
  4. Step 4: Simplify right side
    33,224x = 839,956,611.20
  5. Step 5: Solve for x
    x = 839,956,611.20/33,224
  6. Step 6: Final answer
    x = 25,281.62

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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.