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Finding the Fourth Proportional to 49,255.48, 67,994.94 and 31,375

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Solution

The fourth proportional to 49,255.48, 67,994.94 and 31,375 is: 43,311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,255.48 : 67,994.94 = 31,375 : x
  2. Step 2: Convert to fraction form
    49,255.48/67,994.94 = 31,375/x
  3. Step 3: Cross multiply
    49,255.48x = 67,994.94 × 31,375
  4. Step 4: Simplify right side
    49,255.48x = 2,133,341,242.50
  5. Step 5: Solve for x
    x = 2,133,341,242.50/49,255.48
  6. Step 6: Final answer
    x = 43,311.75

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