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Finding the Fourth Proportional to 54,901.92, 82,353.06 and 13,348.92

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Solution

The fourth proportional to 54,901.92, 82,353.06 and 13,348.92 is: 20,023.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,901.92 : 82,353.06 = 13,348.92 : x
  2. Step 2: Convert to fraction form
    54,901.92/82,353.06 = 13,348.92/x
  3. Step 3: Cross multiply
    54,901.92x = 82,353.06 × 13,348.92
  4. Step 4: Simplify right side
    54,901.92x = 1,099,324,409.70
  5. Step 5: Solve for x
    x = 1,099,324,409.70/54,901.92
  6. Step 6: Final answer
    x = 20,023.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.