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Finding the Fourth Proportional to 43,540, 65,300.76 and 13,949.92

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Solution

The fourth proportional to 43,540, 65,300.76 and 13,949.92 is: 20,921.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,540 : 65,300.76 = 13,949.92 : x
  2. Step 2: Convert to fraction form
    43,540/65,300.76 = 13,949.92/x
  3. Step 3: Cross multiply
    43,540x = 65,300.76 × 13,949.92
  4. Step 4: Simplify right side
    43,540x = 910,940,377.94
  5. Step 5: Solve for x
    x = 910,940,377.94/43,540
  6. Step 6: Final answer
    x = 20,921.92

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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.