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Finding the Fourth Proportional to 92,097.22, 127,093.96 and 51,811

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Solution

The fourth proportional to 92,097.22, 127,093.96 and 51,811 is: 71,499.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,097.22 : 127,093.96 = 51,811 : x
  2. Step 2: Convert to fraction form
    92,097.22/127,093.96 = 51,811/x
  3. Step 3: Cross multiply
    92,097.22x = 127,093.96 × 51,811
  4. Step 4: Simplify right side
    92,097.22x = 6,584,865,161.56
  5. Step 5: Solve for x
    x = 6,584,865,161.56/92,097.22
  6. Step 6: Final answer
    x = 71,499.07

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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.