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Finding the Fourth Proportional to 34,198.12, 47,193.60 and 20,051.20

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Solution

The fourth proportional to 34,198.12, 47,193.60 and 20,051.20 is: 27,670.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,198.12 : 47,193.60 = 20,051.20 : x
  2. Step 2: Convert to fraction form
    34,198.12/47,193.60 = 20,051.20/x
  3. Step 3: Cross multiply
    34,198.12x = 47,193.60 × 20,051.20
  4. Step 4: Simplify right side
    34,198.12x = 946,288,312.32
  5. Step 5: Solve for x
    x = 946,288,312.32/34,198.12
  6. Step 6: Final answer
    x = 27,670.77

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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.