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Finding the Fourth Proportional to 50,990.93, 76,400.09 and 31,228.21

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Solution

The fourth proportional to 50,990.93, 76,400.09 and 31,228.21 is: 46,789.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,990.93 : 76,400.09 = 31,228.21 : x
  2. Step 2: Convert to fraction form
    50,990.93/76,400.09 = 31,228.21/x
  3. Step 3: Cross multiply
    50,990.93x = 76,400.09 × 31,228.21
  4. Step 4: Simplify right side
    50,990.93x = 2,385,838,054.54
  5. Step 5: Solve for x
    x = 2,385,838,054.54/50,990.93
  6. Step 6: Final answer
    x = 46,789.46

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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.