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Finding the Fourth Proportional to 47,796.94, 71,695.41 and 19,732.87

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Solution

The fourth proportional to 47,796.94, 71,695.41 and 19,732.87 is: 29,599.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,796.94 : 71,695.41 = 19,732.87 : x
  2. Step 2: Convert to fraction form
    47,796.94/71,695.41 = 19,732.87/x
  3. Step 3: Cross multiply
    47,796.94x = 71,695.41 × 19,732.87
  4. Step 4: Simplify right side
    47,796.94x = 1,414,756,205.13
  5. Step 5: Solve for x
    x = 1,414,756,205.13/47,796.94
  6. Step 6: Final answer
    x = 29,599.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.