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Finding the Fourth Proportional to 50,145.94, 69,200.31 and 27,484.39

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Solution

The fourth proportional to 50,145.94, 69,200.31 and 27,484.39 is: 37,927.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,145.94 : 69,200.31 = 27,484.39 : x
  2. Step 2: Convert to fraction form
    50,145.94/69,200.31 = 27,484.39/x
  3. Step 3: Cross multiply
    50,145.94x = 69,200.31 × 27,484.39
  4. Step 4: Simplify right side
    50,145.94x = 1,901,928,308.16
  5. Step 5: Solve for x
    x = 1,901,928,308.16/50,145.94
  6. Step 6: Final answer
    x = 37,927.86

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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.