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Finding the Fourth Proportional to 92,384.96, 127,491.57 and 49,943.50

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Solution

The fourth proportional to 92,384.96, 127,491.57 and 49,943.50 is: 68,922.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,384.96 : 127,491.57 = 49,943.50 : x
  2. Step 2: Convert to fraction form
    92,384.96/127,491.57 = 49,943.50/x
  3. Step 3: Cross multiply
    92,384.96x = 127,491.57 × 49,943.50
  4. Step 4: Simplify right side
    92,384.96x = 6,367,375,226.30
  5. Step 5: Solve for x
    x = 6,367,375,226.30/92,384.96
  6. Step 6: Final answer
    x = 68,922.21

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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.