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Finding the Fourth Proportional to 50,185.96, 69,250.98 and 31,057

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Solution

The fourth proportional to 50,185.96, 69,250.98 and 31,057 is: 42,855.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,185.96 : 69,250.98 = 31,057 : x
  2. Step 2: Convert to fraction form
    50,185.96/69,250.98 = 31,057/x
  3. Step 3: Cross multiply
    50,185.96x = 69,250.98 × 31,057
  4. Step 4: Simplify right side
    50,185.96x = 2,150,727,685.86
  5. Step 5: Solve for x
    x = 2,150,727,685.86/50,185.96
  6. Step 6: Final answer
    x = 42,855.17

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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.