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Finding the Fourth Proportional to 109,511.87, 164,288.06 and 34,650.86

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Solution

The fourth proportional to 109,511.87, 164,288.06 and 34,650.86 is: 51,982.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,511.87 : 164,288.06 = 34,650.86 : x
  2. Step 2: Convert to fraction form
    109,511.87/164,288.06 = 34,650.86/x
  3. Step 3: Cross multiply
    109,511.87x = 164,288.06 × 34,650.86
  4. Step 4: Simplify right side
    109,511.87x = 5,692,721,572.04
  5. Step 5: Solve for x
    x = 5,692,721,572.04/109,511.87
  6. Step 6: Final answer
    x = 51,982.69

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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.