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Finding the Fourth Proportional to 50,839, 70,157.82 and 30,967

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Solution

The fourth proportional to 50,839, 70,157.82 and 30,967 is: 42,734.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,839 : 70,157.82 = 30,967 : x
  2. Step 2: Convert to fraction form
    50,839/70,157.82 = 30,967/x
  3. Step 3: Cross multiply
    50,839x = 70,157.82 × 30,967
  4. Step 4: Simplify right side
    50,839x = 2,172,577,211.94
  5. Step 5: Solve for x
    x = 2,172,577,211.94/50,839
  6. Step 6: Final answer
    x = 42,734.46

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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.