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Finding the Fourth Proportional to 49,463.68, 68,263.22 and 27,945.95

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Solution

The fourth proportional to 49,463.68, 68,263.22 and 27,945.95 is: 38,567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,463.68 : 68,263.22 = 27,945.95 : x
  2. Step 2: Convert to fraction form
    49,463.68/68,263.22 = 27,945.95/x
  3. Step 3: Cross multiply
    49,463.68x = 68,263.22 × 27,945.95
  4. Step 4: Simplify right side
    49,463.68x = 1,907,680,532.96
  5. Step 5: Solve for x
    x = 1,907,680,532.96/49,463.68
  6. Step 6: Final answer
    x = 38,567.30

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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.