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Finding the Fourth Proportional to 55,763.82, 83,658.89 and 18,324

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Solution

The fourth proportional to 55,763.82, 83,658.89 and 18,324 is: 27,490.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,763.82 : 83,658.89 = 18,324 : x
  2. Step 2: Convert to fraction form
    55,763.82/83,658.89 = 18,324/x
  3. Step 3: Cross multiply
    55,763.82x = 83,658.89 × 18,324
  4. Step 4: Simplify right side
    55,763.82x = 1,532,965,546.17
  5. Step 5: Solve for x
    x = 1,532,965,546.17/55,763.82
  6. Step 6: Final answer
    x = 27,490.33

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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.