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Finding the Fourth Proportional to 60,289, 83,198.82 and 33,793

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Solution

The fourth proportional to 60,289, 83,198.82 and 33,793 is: 46,634.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,289 : 83,198.82 = 33,793 : x
  2. Step 2: Convert to fraction form
    60,289/83,198.82 = 33,793/x
  3. Step 3: Cross multiply
    60,289x = 83,198.82 × 33,793
  4. Step 4: Simplify right side
    60,289x = 2,811,537,724.26
  5. Step 5: Solve for x
    x = 2,811,537,724.26/60,289
  6. Step 6: Final answer
    x = 46,634.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.