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Finding the Fourth Proportional to 34,542.14, 47,672.36 and 19,435.42

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Solution

The fourth proportional to 34,542.14, 47,672.36 and 19,435.42 is: 26,823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,542.14 : 47,672.36 = 19,435.42 : x
  2. Step 2: Convert to fraction form
    34,542.14/47,672.36 = 19,435.42/x
  3. Step 3: Cross multiply
    34,542.14x = 47,672.36 × 19,435.42
  4. Step 4: Simplify right side
    34,542.14x = 926,532,338.99
  5. Step 5: Solve for x
    x = 926,532,338.99/34,542.14
  6. Step 6: Final answer
    x = 26,823.25

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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.