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Finding the Fourth Proportional to 47,910.97, 71,880.32 and 19,825.84

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Solution

The fourth proportional to 47,910.97, 71,880.32 and 19,825.84 is: 29,744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,910.97 : 71,880.32 = 19,825.84 : x
  2. Step 2: Convert to fraction form
    47,910.97/71,880.32 = 19,825.84/x
  3. Step 3: Cross multiply
    47,910.97x = 71,880.32 × 19,825.84
  4. Step 4: Simplify right side
    47,910.97x = 1,425,087,723.47
  5. Step 5: Solve for x
    x = 1,425,087,723.47/47,910.97
  6. Step 6: Final answer
    x = 29,744.50

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