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Finding the Fourth Proportional to 101,160.87, 151,765.75 and 37,981.68

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Solution

The fourth proportional to 101,160.87, 151,765.75 and 37,981.68 is: 56,981.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,160.87 : 151,765.75 = 37,981.68 : x
  2. Step 2: Convert to fraction form
    101,160.87/151,765.75 = 37,981.68/x
  3. Step 3: Cross multiply
    101,160.87x = 151,765.75 × 37,981.68
  4. Step 4: Simplify right side
    101,160.87x = 5,764,318,269.85
  5. Step 5: Solve for x
    x = 5,764,318,269.85/101,160.87
  6. Step 6: Final answer
    x = 56,981.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.