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Finding the Fourth Proportional to 55,222.78, 82,863.89 and 21,943.14

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Solution

The fourth proportional to 55,222.78, 82,863.89 and 21,943.14 is: 32,926.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,222.78 : 82,863.89 = 21,943.14 : x
  2. Step 2: Convert to fraction form
    55,222.78/82,863.89 = 21,943.14/x
  3. Step 3: Cross multiply
    55,222.78x = 82,863.89 × 21,943.14
  4. Step 4: Simplify right side
    55,222.78x = 1,818,293,939.21
  5. Step 5: Solve for x
    x = 1,818,293,939.21/55,222.78
  6. Step 6: Final answer
    x = 32,926.52

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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.