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Finding the Fourth Proportional to 54,769.63, 82,154.45 and 13,216.63

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Solution

The fourth proportional to 54,769.63, 82,154.45 and 13,216.63 is: 19,824.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,769.63 : 82,154.45 = 13,216.63 : x
  2. Step 2: Convert to fraction form
    54,769.63/82,154.45 = 13,216.63/x
  3. Step 3: Cross multiply
    54,769.63x = 82,154.45 × 13,216.63
  4. Step 4: Simplify right side
    54,769.63x = 1,085,804,491.65
  5. Step 5: Solve for x
    x = 1,085,804,491.65/54,769.63
  6. Step 6: Final answer
    x = 19,824.94

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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.