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Finding the Fourth Proportional to 49,328.37, 68,079.81 and 27,822.53

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Solution

The fourth proportional to 49,328.37, 68,079.81 and 27,822.53 is: 38,398.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,328.37 : 68,079.81 = 27,822.53 : x
  2. Step 2: Convert to fraction form
    49,328.37/68,079.81 = 27,822.53/x
  3. Step 3: Cross multiply
    49,328.37x = 68,079.81 × 27,822.53
  4. Step 4: Simplify right side
    49,328.37x = 1,894,152,556.12
  5. Step 5: Solve for x
    x = 1,894,152,556.12/49,328.37
  6. Step 6: Final answer
    x = 38,398.85

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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.