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Finding the Fourth Proportional to 92,291.31, 127,362.02 and 49,849.85

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Solution

The fourth proportional to 92,291.31, 127,362.02 and 49,849.85 is: 68,792.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,291.31 : 127,362.02 = 49,849.85 : x
  2. Step 2: Convert to fraction form
    92,291.31/127,362.02 = 49,849.85/x
  3. Step 3: Cross multiply
    92,291.31x = 127,362.02 × 49,849.85
  4. Step 4: Simplify right side
    92,291.31x = 6,348,976,706.64
  5. Step 5: Solve for x
    x = 6,348,976,706.64/92,291.31
  6. Step 6: Final answer
    x = 68,792.79

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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.