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Finding the Fourth Proportional to 50,407, 75,621.81 and 15,349.42

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Solution

The fourth proportional to 50,407, 75,621.81 and 15,349.42 is: 23,027.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,407 : 75,621.81 = 15,349.42 : x
  2. Step 2: Convert to fraction form
    50,407/75,621.81 = 15,349.42/x
  3. Step 3: Cross multiply
    50,407x = 75,621.81 × 15,349.42
  4. Step 4: Simplify right side
    50,407x = 1,160,750,922.85
  5. Step 5: Solve for x
    x = 1,160,750,922.85/50,407
  6. Step 6: Final answer
    x = 23,027.57

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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.