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Finding the Fourth Proportional to 33,120, 45,706.32 and 18,216

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Solution

The fourth proportional to 33,120, 45,706.32 and 18,216 is: 25,138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,120 : 45,706.32 = 18,216 : x
  2. Step 2: Convert to fraction form
    33,120/45,706.32 = 18,216/x
  3. Step 3: Cross multiply
    33,120x = 45,706.32 × 18,216
  4. Step 4: Simplify right side
    33,120x = 832,586,325.12
  5. Step 5: Solve for x
    x = 832,586,325.12/33,120
  6. Step 6: Final answer
    x = 25,138.48

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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.