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Finding the Fourth Proportional to 34,144.46, 47,102.60 and 22,816.73

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Solution

The fourth proportional to 34,144.46, 47,102.60 and 22,816.73 is: 31,475.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,144.46 : 47,102.60 = 22,816.73 : x
  2. Step 2: Convert to fraction form
    34,144.46/47,102.60 = 22,816.73/x
  3. Step 3: Cross multiply
    34,144.46x = 47,102.60 × 22,816.73
  4. Step 4: Simplify right side
    34,144.46x = 1,074,726,956.90
  5. Step 5: Solve for x
    x = 1,074,726,956.90/34,144.46
  6. Step 6: Final answer
    x = 31,475.89

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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.