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Finding the Fourth Proportional to 109,433.92, 164,121.66 and 30,534.28

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Solution

The fourth proportional to 109,433.92, 164,121.66 and 30,534.28 is: 45,793.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,433.92 : 164,121.66 = 30,534.28 : x
  2. Step 2: Convert to fraction form
    109,433.92/164,121.66 = 30,534.28/x
  3. Step 3: Cross multiply
    109,433.92x = 164,121.66 × 30,534.28
  4. Step 4: Simplify right side
    109,433.92x = 5,011,336,720.50
  5. Step 5: Solve for x
    x = 5,011,336,720.50/109,433.92
  6. Step 6: Final answer
    x = 45,793.27

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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.