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Finding the Fourth Proportional to 49,459.45, 68,257.39 and 27,941.74

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Solution

The fourth proportional to 49,459.45, 68,257.39 and 27,941.74 is: 38,561.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,459.45 : 68,257.39 = 27,941.74 : x
  2. Step 2: Convert to fraction form
    49,459.45/68,257.39 = 27,941.74/x
  3. Step 3: Cross multiply
    49,459.45x = 68,257.39 × 27,941.74
  4. Step 4: Simplify right side
    49,459.45x = 1,907,230,244.46
  5. Step 5: Solve for x
    x = 1,907,230,244.46/49,459.45
  6. Step 6: Final answer
    x = 38,561.49

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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.