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Finding the Fourth Proportional to 75,608.70, 113,382.46 and 32,917.24

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Solution

The fourth proportional to 75,608.70, 113,382.46 and 32,917.24 is: 49,362.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,608.70 : 113,382.46 = 32,917.24 : x
  2. Step 2: Convert to fraction form
    75,608.70/113,382.46 = 32,917.24/x
  3. Step 3: Cross multiply
    75,608.70x = 113,382.46 × 32,917.24
  4. Step 4: Simplify right side
    75,608.70x = 3,732,237,647.61
  5. Step 5: Solve for x
    x = 3,732,237,647.61/75,608.70
  6. Step 6: Final answer
    x = 49,362.54

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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.