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Finding the Fourth Proportional to 49,270.96, 67,993.63 and 27,760.65

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Solution

The fourth proportional to 49,270.96, 67,993.63 and 27,760.65 is: 38,309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,270.96 : 67,993.63 = 27,760.65 : x
  2. Step 2: Convert to fraction form
    49,270.96/67,993.63 = 27,760.65/x
  3. Step 3: Cross multiply
    49,270.96x = 67,993.63 × 27,760.65
  4. Step 4: Simplify right side
    49,270.96x = 1,887,547,364.66
  5. Step 5: Solve for x
    x = 1,887,547,364.66/49,270.96
  6. Step 6: Final answer
    x = 38,309.53

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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.