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Finding the Fourth Proportional to 34,130.82, 47,096.73 and 19,022.34

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Solution

The fourth proportional to 34,130.82, 47,096.73 and 19,022.34 is: 26,248.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,130.82 : 47,096.73 = 19,022.34 : x
  2. Step 2: Convert to fraction form
    34,130.82/47,096.73 = 19,022.34/x
  3. Step 3: Cross multiply
    34,130.82x = 47,096.73 × 19,022.34
  4. Step 4: Simplify right side
    34,130.82x = 895,890,010.95
  5. Step 5: Solve for x
    x = 895,890,010.95/34,130.82
  6. Step 6: Final answer
    x = 26,248.71

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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.