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Finding the Fourth Proportional to 115,603.31, 173,404.97 and 32,497.31

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Solution

The fourth proportional to 115,603.31, 173,404.97 and 32,497.31 is: 48,745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,603.31 : 173,404.97 = 32,497.31 : x
  2. Step 2: Convert to fraction form
    115,603.31/173,404.97 = 32,497.31/x
  3. Step 3: Cross multiply
    115,603.31x = 173,404.97 × 32,497.31
  4. Step 4: Simplify right side
    115,603.31x = 5,635,194,903.14
  5. Step 5: Solve for x
    x = 5,635,194,903.14/115,603.31
  6. Step 6: Final answer
    x = 48,745.97

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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.