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Finding the Fourth Proportional to 54,769.50, 82,154.43 and 13,216.50

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Solution

The fourth proportional to 54,769.50, 82,154.43 and 13,216.50 is: 19,824.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,769.50 : 82,154.43 = 13,216.50 : x
  2. Step 2: Convert to fraction form
    54,769.50/82,154.43 = 13,216.50/x
  3. Step 3: Cross multiply
    54,769.50x = 82,154.43 × 13,216.50
  4. Step 4: Simplify right side
    54,769.50x = 1,085,794,024.10
  5. Step 5: Solve for x
    x = 1,085,794,024.10/54,769.50
  6. Step 6: Final answer
    x = 19,824.79

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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.