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Finding the Fourth Proportional to 50,178.38, 69,244.07 and 30,046.50

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Solution

The fourth proportional to 50,178.38, 69,244.07 and 30,046.50 is: 41,462.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,178.38 : 69,244.07 = 30,046.50 : x
  2. Step 2: Convert to fraction form
    50,178.38/69,244.07 = 30,046.50/x
  3. Step 3: Cross multiply
    50,178.38x = 69,244.07 × 30,046.50
  4. Step 4: Simplify right side
    50,178.38x = 2,080,541,799.02
  5. Step 5: Solve for x
    x = 2,080,541,799.02/50,178.38
  6. Step 6: Final answer
    x = 41,462.92

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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.