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Finding the Fourth Proportional to 54,019.82, 81,029.72 and 14,576.94

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Solution

The fourth proportional to 54,019.82, 81,029.72 and 14,576.94 is: 21,865.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,019.82 : 81,029.72 = 14,576.94 : x
  2. Step 2: Convert to fraction form
    54,019.82/81,029.72 = 14,576.94/x
  3. Step 3: Cross multiply
    54,019.82x = 81,029.72 × 14,576.94
  4. Step 4: Simplify right side
    54,019.82x = 1,181,165,366.66
  5. Step 5: Solve for x
    x = 1,181,165,366.66/54,019.82
  6. Step 6: Final answer
    x = 21,865.41

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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.