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Finding the Fourth Proportional to 92,382.96, 127,488.81 and 49,941.50

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Solution

The fourth proportional to 92,382.96, 127,488.81 and 49,941.50 is: 68,919.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,382.96 : 127,488.81 = 49,941.50 : x
  2. Step 2: Convert to fraction form
    92,382.96/127,488.81 = 49,941.50/x
  3. Step 3: Cross multiply
    92,382.96x = 127,488.81 × 49,941.50
  4. Step 4: Simplify right side
    92,382.96x = 6,366,981,767.17
  5. Step 5: Solve for x
    x = 6,366,981,767.17/92,382.96
  6. Step 6: Final answer
    x = 68,919.44

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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.