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Finding the Fourth Proportional to 47,792.94, 71,689.50 and 19,728.96

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Solution

The fourth proportional to 47,792.94, 71,689.50 and 19,728.96 is: 29,593.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,792.94 : 71,689.50 = 19,728.96 : x
  2. Step 2: Convert to fraction form
    47,792.94/71,689.50 = 19,728.96/x
  3. Step 3: Cross multiply
    47,792.94x = 71,689.50 × 19,728.96
  4. Step 4: Simplify right side
    47,792.94x = 1,414,359,277.92
  5. Step 5: Solve for x
    x = 1,414,359,277.92/47,792.94
  6. Step 6: Final answer
    x = 29,593.48

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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.