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Finding the Fourth Proportional to 34,204.12, 47,201.88 and 20,057.20

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Solution

The fourth proportional to 34,204.12, 47,201.88 and 20,057.20 is: 27,679.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,204.12 : 47,201.88 = 20,057.20 : x
  2. Step 2: Convert to fraction form
    34,204.12/47,201.88 = 20,057.20/x
  3. Step 3: Cross multiply
    34,204.12x = 47,201.88 × 20,057.20
  4. Step 4: Simplify right side
    34,204.12x = 946,737,547.54
  5. Step 5: Solve for x
    x = 946,737,547.54/34,204.12
  6. Step 6: Final answer
    x = 27,679.05

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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.