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Finding the Fourth Proportional to 34,205.34, 47,198.66 and 19,096.23

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Solution

The fourth proportional to 34,205.34, 47,198.66 and 19,096.23 is: 26,350.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,205.34 : 47,198.66 = 19,096.23 : x
  2. Step 2: Convert to fraction form
    34,205.34/47,198.66 = 19,096.23/x
  3. Step 3: Cross multiply
    34,205.34x = 47,198.66 × 19,096.23
  4. Step 4: Simplify right side
    34,205.34x = 901,316,371.57
  5. Step 5: Solve for x
    x = 901,316,371.57/34,205.34
  6. Step 6: Final answer
    x = 26,350.17

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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.