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Finding the Fourth Proportional to 76,993, 115,535.58 and 33,217

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Solution

The fourth proportional to 76,993, 115,535.58 and 33,217 is: 49,845.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,993 : 115,535.58 = 33,217 : x
  2. Step 2: Convert to fraction form
    76,993/115,535.58 = 33,217/x
  3. Step 3: Cross multiply
    76,993x = 115,535.58 × 33,217
  4. Step 4: Simplify right side
    76,993x = 3,837,745,360.86
  5. Step 5: Solve for x
    x = 3,837,745,360.86/76,993
  6. Step 6: Final answer
    x = 49,845.38

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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.