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Finding the Fourth Proportional to 34,199.12, 47,194.98 and 20,052.20

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Solution

The fourth proportional to 34,199.12, 47,194.98 and 20,052.20 is: 27,672.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,199.12 : 47,194.98 = 20,052.20 : x
  2. Step 2: Convert to fraction form
    34,199.12/47,194.98 = 20,052.20/x
  3. Step 3: Cross multiply
    34,199.12x = 47,194.98 × 20,052.20
  4. Step 4: Simplify right side
    34,199.12x = 946,363,177.96
  5. Step 5: Solve for x
    x = 946,363,177.96/34,199.12
  6. Step 6: Final answer
    x = 27,672.15

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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.