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Finding the Fourth Proportional to 49,434.54, 68,223.87 and 27,928.24

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Solution

The fourth proportional to 49,434.54, 68,223.87 and 27,928.24 is: 38,543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,434.54 : 68,223.87 = 27,928.24 : x
  2. Step 2: Convert to fraction form
    49,434.54/68,223.87 = 27,928.24/x
  3. Step 3: Cross multiply
    49,434.54x = 68,223.87 × 27,928.24
  4. Step 4: Simplify right side
    49,434.54x = 1,905,372,444.53
  5. Step 5: Solve for x
    x = 1,905,372,444.53/49,434.54
  6. Step 6: Final answer
    x = 38,543.34

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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.