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Finding the Fourth Proportional to 109,410.56, 164,143.50 and 30,524.72

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Solution

The fourth proportional to 109,410.56, 164,143.50 and 30,524.72 is: 45,794.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,410.56 : 164,143.50 = 30,524.72 : x
  2. Step 2: Convert to fraction form
    109,410.56/164,143.50 = 30,524.72/x
  3. Step 3: Cross multiply
    109,410.56x = 164,143.50 × 30,524.72
  4. Step 4: Simplify right side
    109,410.56x = 5,010,434,787.68
  5. Step 5: Solve for x
    x = 5,010,434,787.68/109,410.56
  6. Step 6: Final answer
    x = 45,794.80

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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.