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Finding the Fourth Proportional to 34,204.50, 47,198.94 and 19,095.96

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Solution

The fourth proportional to 34,204.50, 47,198.94 and 19,095.96 is: 26,350.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,204.50 : 47,198.94 = 19,095.96 : x
  2. Step 2: Convert to fraction form
    34,204.50/47,198.94 = 19,095.96/x
  3. Step 3: Cross multiply
    34,204.50x = 47,198.94 × 19,095.96
  4. Step 4: Simplify right side
    34,204.50x = 901,309,070.28
  5. Step 5: Solve for x
    x = 901,309,070.28/34,204.50
  6. Step 6: Final answer
    x = 26,350.60

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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.