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Finding the Fourth Proportional to 90,274.42, 135,396.24 and 27,077.41

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Solution

The fourth proportional to 90,274.42, 135,396.24 and 27,077.41 is: 40,611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,274.42 : 135,396.24 = 27,077.41 : x
  2. Step 2: Convert to fraction form
    90,274.42/135,396.24 = 27,077.41/x
  3. Step 3: Cross multiply
    90,274.42x = 135,396.24 × 27,077.41
  4. Step 4: Simplify right side
    90,274.42x = 3,666,179,502.94
  5. Step 5: Solve for x
    x = 3,666,179,502.94/90,274.42
  6. Step 6: Final answer
    x = 40,611.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.