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Finding the Fourth Proportional to 50,946.91, 76,409.41 and 31,962.40

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Solution

The fourth proportional to 50,946.91, 76,409.41 and 31,962.40 is: 47,936.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,946.91 : 76,409.41 = 31,962.40 : x
  2. Step 2: Convert to fraction form
    50,946.91/76,409.41 = 31,962.40/x
  3. Step 3: Cross multiply
    50,946.91x = 76,409.41 × 31,962.40
  4. Step 4: Simplify right side
    50,946.91x = 2,442,228,126.18
  5. Step 5: Solve for x
    x = 2,442,228,126.18/50,946.91
  6. Step 6: Final answer
    x = 47,936.73

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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.