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Finding the Fourth Proportional to 109,358.50, 164,037.86 and 30,474.83

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Solution

The fourth proportional to 109,358.50, 164,037.86 and 30,474.83 is: 45,712.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,358.50 : 164,037.86 = 30,474.83 : x
  2. Step 2: Convert to fraction form
    109,358.50/164,037.86 = 30,474.83/x
  3. Step 3: Cross multiply
    109,358.50x = 164,037.86 × 30,474.83
  4. Step 4: Simplify right side
    109,358.50x = 4,999,025,744.69
  5. Step 5: Solve for x
    x = 4,999,025,744.69/109,358.50
  6. Step 6: Final answer
    x = 45,712.27

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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.