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Finding the Fourth Proportional to 51,251.94, 76,900.11 and 27,531.81

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Solution

The fourth proportional to 51,251.94, 76,900.11 and 27,531.81 is: 41,309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,251.94 : 76,900.11 = 27,531.81 : x
  2. Step 2: Convert to fraction form
    51,251.94/76,900.11 = 27,531.81/x
  3. Step 3: Cross multiply
    51,251.94x = 76,900.11 × 27,531.81
  4. Step 4: Simplify right side
    51,251.94x = 2,117,199,217.50
  5. Step 5: Solve for x
    x = 2,117,199,217.50/51,251.94
  6. Step 6: Final answer
    x = 41,309.64

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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.