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Finding the Fourth Proportional to 54,956.70, 82,435.05 and 15,513.30

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Solution

The fourth proportional to 54,956.70, 82,435.05 and 15,513.30 is: 23,269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,956.70 : 82,435.05 = 15,513.30 : x
  2. Step 2: Convert to fraction form
    54,956.70/82,435.05 = 15,513.30/x
  3. Step 3: Cross multiply
    54,956.70x = 82,435.05 × 15,513.30
  4. Step 4: Simplify right side
    54,956.70x = 1,278,839,661.17
  5. Step 5: Solve for x
    x = 1,278,839,661.17/54,956.70
  6. Step 6: Final answer
    x = 23,269.95

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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.