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Finding the Fourth Proportional to 50,986.25, 76,392.90 and 31,223.46

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Solution

The fourth proportional to 50,986.25, 76,392.90 and 31,223.46 is: 46,782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,986.25 : 76,392.90 = 31,223.46 : x
  2. Step 2: Convert to fraction form
    50,986.25/76,392.90 = 31,223.46/x
  3. Step 3: Cross multiply
    50,986.25x = 76,392.90 × 31,223.46
  4. Step 4: Simplify right side
    50,986.25x = 2,385,250,657.43
  5. Step 5: Solve for x
    x = 2,385,250,657.43/50,986.25
  6. Step 6: Final answer
    x = 46,782.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.