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Finding the Fourth Proportional to 50,840, 70,159.20 and 30,968

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Solution

The fourth proportional to 50,840, 70,159.20 and 30,968 is: 42,735.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,840 : 70,159.20 = 30,968 : x
  2. Step 2: Convert to fraction form
    50,840/70,159.20 = 30,968/x
  3. Step 3: Cross multiply
    50,840x = 70,159.20 × 30,968
  4. Step 4: Simplify right side
    50,840x = 2,172,690,105.60
  5. Step 5: Solve for x
    x = 2,172,690,105.60/50,840
  6. Step 6: Final answer
    x = 42,735.84

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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.