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Finding the Fourth Proportional to 92,202.70, 127,231.65 and 51,363.82

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Solution

The fourth proportional to 92,202.70, 127,231.65 and 51,363.82 is: 70,877.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,202.70 : 127,231.65 = 51,363.82 : x
  2. Step 2: Convert to fraction form
    92,202.70/127,231.65 = 51,363.82/x
  3. Step 3: Cross multiply
    92,202.70x = 127,231.65 × 51,363.82
  4. Step 4: Simplify right side
    92,202.70x = 6,535,103,568.90
  5. Step 5: Solve for x
    x = 6,535,103,568.90/92,202.70
  6. Step 6: Final answer
    x = 70,877.57

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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.