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Finding the Fourth Proportional to 50,946.69, 70,306.68 and 31,837.56

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Solution

The fourth proportional to 50,946.69, 70,306.68 and 31,837.56 is: 43,935.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,946.69 : 70,306.68 = 31,837.56 : x
  2. Step 2: Convert to fraction form
    50,946.69/70,306.68 = 31,837.56/x
  3. Step 3: Cross multiply
    50,946.69x = 70,306.68 × 31,837.56
  4. Step 4: Simplify right side
    50,946.69x = 2,238,393,142.90
  5. Step 5: Solve for x
    x = 2,238,393,142.90/50,946.69
  6. Step 6: Final answer
    x = 43,935.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.