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Finding the Fourth Proportional to 69,478.52, 104,249.22 and 27,347

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Solution

The fourth proportional to 69,478.52, 104,249.22 and 27,347 is: 41,032.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,478.52 : 104,249.22 = 27,347 : x
  2. Step 2: Convert to fraction form
    69,478.52/104,249.22 = 27,347/x
  3. Step 3: Cross multiply
    69,478.52x = 104,249.22 × 27,347
  4. Step 4: Simplify right side
    69,478.52x = 2,850,903,419.34
  5. Step 5: Solve for x
    x = 2,850,903,419.34/69,478.52
  6. Step 6: Final answer
    x = 41,032.87

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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.