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Finding the Fourth Proportional to 50,138.46, 69,191.10 and 27,782.46

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Solution

The fourth proportional to 50,138.46, 69,191.10 and 27,782.46 is: 38,339.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,138.46 : 69,191.10 = 27,782.46 : x
  2. Step 2: Convert to fraction form
    50,138.46/69,191.10 = 27,782.46/x
  3. Step 3: Cross multiply
    50,138.46x = 69,191.10 × 27,782.46
  4. Step 4: Simplify right side
    50,138.46x = 1,922,298,968.11
  5. Step 5: Solve for x
    x = 1,922,298,968.11/50,138.46
  6. Step 6: Final answer
    x = 38,339.81

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Why These Related Problems?

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