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Finding the Fourth Proportional to 54,669.82, 82,006.90 and 15,230.38

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Solution

The fourth proportional to 54,669.82, 82,006.90 and 15,230.38 is: 22,846.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,669.82 : 82,006.90 = 15,230.38 : x
  2. Step 2: Convert to fraction form
    54,669.82/82,006.90 = 15,230.38/x
  3. Step 3: Cross multiply
    54,669.82x = 82,006.90 × 15,230.38
  4. Step 4: Simplify right side
    54,669.82x = 1,248,996,249.62
  5. Step 5: Solve for x
    x = 1,248,996,249.62/54,669.82
  6. Step 6: Final answer
    x = 22,846.17

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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.