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Finding the Fourth Proportional to 92,363.76, 127,462.20 and 49,922.28

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Solution

The fourth proportional to 92,363.76, 127,462.20 and 49,922.28 is: 68,892.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,363.76 : 127,462.20 = 49,922.28 : x
  2. Step 2: Convert to fraction form
    92,363.76/127,462.20 = 49,922.28/x
  3. Step 3: Cross multiply
    92,363.76x = 127,462.20 × 49,922.28
  4. Step 4: Simplify right side
    92,363.76x = 6,363,203,637.82
  5. Step 5: Solve for x
    x = 6,363,203,637.82/92,363.76
  6. Step 6: Final answer
    x = 68,892.86

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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.