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Finding the Fourth Proportional to 35,106.92, 52,660.48 and 10,149

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Solution

The fourth proportional to 35,106.92, 52,660.48 and 10,149 is: 15,223.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,106.92 : 52,660.48 = 10,149 : x
  2. Step 2: Convert to fraction form
    35,106.92/52,660.48 = 10,149/x
  3. Step 3: Cross multiply
    35,106.92x = 52,660.48 × 10,149
  4. Step 4: Simplify right side
    35,106.92x = 534,451,211.52
  5. Step 5: Solve for x
    x = 534,451,211.52/35,106.92
  6. Step 6: Final answer
    x = 15,223.53

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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.