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Finding the Fourth Proportional to 50,540.92, 75,686.79 and 31,774.40

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Solution

The fourth proportional to 50,540.92, 75,686.79 and 31,774.40 is: 47,583.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,540.92 : 75,686.79 = 31,774.40 : x
  2. Step 2: Convert to fraction form
    50,540.92/75,686.79 = 31,774.40/x
  3. Step 3: Cross multiply
    50,540.92x = 75,686.79 × 31,774.40
  4. Step 4: Simplify right side
    50,540.92x = 2,404,902,340.18
  5. Step 5: Solve for x
    x = 2,404,902,340.18/50,540.92
  6. Step 6: Final answer
    x = 47,583.27

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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.