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Finding the Fourth Proportional to 50,945.91, 76,407.91 and 31,961.40

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Solution

The fourth proportional to 50,945.91, 76,407.91 and 31,961.40 is: 47,935.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,945.91 : 76,407.91 = 31,961.40 : x
  2. Step 2: Convert to fraction form
    50,945.91/76,407.91 = 31,961.40/x
  3. Step 3: Cross multiply
    50,945.91x = 76,407.91 × 31,961.40
  4. Step 4: Simplify right side
    50,945.91x = 2,442,103,774.67
  5. Step 5: Solve for x
    x = 2,442,103,774.67/50,945.91
  6. Step 6: Final answer
    x = 47,935.23

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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.