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Finding the Fourth Proportional to 50,150.64, 69,206.94 and 27,489

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Solution

The fourth proportional to 50,150.64, 69,206.94 and 27,489 is: 37,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,150.64 : 69,206.94 = 27,489 : x
  2. Step 2: Convert to fraction form
    50,150.64/69,206.94 = 27,489/x
  3. Step 3: Cross multiply
    50,150.64x = 69,206.94 × 27,489
  4. Step 4: Simplify right side
    50,150.64x = 1,902,429,573.66
  5. Step 5: Solve for x
    x = 1,902,429,573.66/50,150.64
  6. Step 6: Final answer
    x = 37,934.30

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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.