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Finding the Fourth Proportional to 20,052.92, 30,082.30 and 6,203

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Solution

The fourth proportional to 20,052.92, 30,082.30 and 6,203 is: 9,305.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,052.92 : 30,082.30 = 6,203 : x
  2. Step 2: Convert to fraction form
    20,052.92/30,082.30 = 6,203/x
  3. Step 3: Cross multiply
    20,052.92x = 30,082.30 × 6,203
  4. Step 4: Simplify right side
    20,052.92x = 186,600,506.90
  5. Step 5: Solve for x
    x = 186,600,506.90/20,052.92
  6. Step 6: Final answer
    x = 9,305.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.