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Finding the Fourth Proportional to 92,381.85, 127,487.14 and 49,940.38

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Solution

The fourth proportional to 92,381.85, 127,487.14 and 49,940.38 is: 68,917.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,381.85 : 127,487.14 = 49,940.38 : x
  2. Step 2: Convert to fraction form
    92,381.85/127,487.14 = 49,940.38/x
  3. Step 3: Cross multiply
    92,381.85x = 127,487.14 × 49,940.38
  4. Step 4: Simplify right side
    92,381.85x = 6,366,756,216.71
  5. Step 5: Solve for x
    x = 6,366,756,216.71/92,381.85
  6. Step 6: Final answer
    x = 68,917.83

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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.