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Finding the Fourth Proportional to 55,644.98, 83,472.66 and 18,205.28

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Solution

The fourth proportional to 55,644.98, 83,472.66 and 18,205.28 is: 27,309.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,644.98 : 83,472.66 = 18,205.28 : x
  2. Step 2: Convert to fraction form
    55,644.98/83,472.66 = 18,205.28/x
  3. Step 3: Cross multiply
    55,644.98x = 83,472.66 × 18,205.28
  4. Step 4: Simplify right side
    55,644.98x = 1,519,643,147.64
  5. Step 5: Solve for x
    x = 1,519,643,147.64/55,644.98
  6. Step 6: Final answer
    x = 27,309.62

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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.