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Finding the Fourth Proportional to 47,851.54, 71,704.56 and 22,857.17

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Solution

The fourth proportional to 47,851.54, 71,704.56 and 22,857.17 is: 34,251.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,851.54 : 71,704.56 = 22,857.17 : x
  2. Step 2: Convert to fraction form
    47,851.54/71,704.56 = 22,857.17/x
  3. Step 3: Cross multiply
    47,851.54x = 71,704.56 × 22,857.17
  4. Step 4: Simplify right side
    47,851.54x = 1,638,963,317.70
  5. Step 5: Solve for x
    x = 1,638,963,317.70/47,851.54
  6. Step 6: Final answer
    x = 34,251.00

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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.