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Finding the Fourth Proportional to 113,772.56, 170,735.01 and 47,212.76

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Solution

The fourth proportional to 113,772.56, 170,735.01 and 47,212.76 is: 70,850.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,772.56 : 170,735.01 = 47,212.76 : x
  2. Step 2: Convert to fraction form
    113,772.56/170,735.01 = 47,212.76/x
  3. Step 3: Cross multiply
    113,772.56x = 170,735.01 × 47,212.76
  4. Step 4: Simplify right side
    113,772.56x = 8,060,870,197.05
  5. Step 5: Solve for x
    x = 8,060,870,197.05/113,772.56
  6. Step 6: Final answer
    x = 70,850.74

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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.