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Finding the Fourth Proportional to 49,459.98, 68,258.13 and 27,942.27

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Solution

The fourth proportional to 49,459.98, 68,258.13 and 27,942.27 is: 38,562.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,459.98 : 68,258.13 = 27,942.27 : x
  2. Step 2: Convert to fraction form
    49,459.98/68,258.13 = 27,942.27/x
  3. Step 3: Cross multiply
    49,459.98x = 68,258.13 × 27,942.27
  4. Step 4: Simplify right side
    49,459.98x = 1,907,286,737.40
  5. Step 5: Solve for x
    x = 1,907,286,737.40/49,459.98
  6. Step 6: Final answer
    x = 38,562.22

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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.