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Finding the Fourth Proportional to 56,842.79, 85,238.26 and 27,274.55

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Solution

The fourth proportional to 56,842.79, 85,238.26 and 27,274.55 is: 40,899.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,842.79 : 85,238.26 = 27,274.55 : x
  2. Step 2: Convert to fraction form
    56,842.79/85,238.26 = 27,274.55/x
  3. Step 3: Cross multiply
    56,842.79x = 85,238.26 × 27,274.55
  4. Step 4: Simplify right side
    56,842.79x = 2,324,834,689.91
  5. Step 5: Solve for x
    x = 2,324,834,689.91/56,842.79
  6. Step 6: Final answer
    x = 40,899.38

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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.