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Finding the Fourth Proportional to 47,099.68, 70,589.31 and 22,084.54

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Solution

The fourth proportional to 47,099.68, 70,589.31 and 22,084.54 is: 33,098.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,099.68 : 70,589.31 = 22,084.54 : x
  2. Step 2: Convert to fraction form
    47,099.68/70,589.31 = 22,084.54/x
  3. Step 3: Cross multiply
    47,099.68x = 70,589.31 × 22,084.54
  4. Step 4: Simplify right side
    47,099.68x = 1,558,932,440.27
  5. Step 5: Solve for x
    x = 1,558,932,440.27/47,099.68
  6. Step 6: Final answer
    x = 33,098.58

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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.