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Finding the Fourth Proportional to 20,101.32, 30,143.88 and 6,057

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Solution

The fourth proportional to 20,101.32, 30,143.88 and 6,057 is: 9,083.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,101.32 : 30,143.88 = 6,057 : x
  2. Step 2: Convert to fraction form
    20,101.32/30,143.88 = 6,057/x
  3. Step 3: Cross multiply
    20,101.32x = 30,143.88 × 6,057
  4. Step 4: Simplify right side
    20,101.32x = 182,581,481.16
  5. Step 5: Solve for x
    x = 182,581,481.16/20,101.32
  6. Step 6: Final answer
    x = 9,083.06

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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.