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Finding the Fourth Proportional to 49,201.46, 67,897.74 and 27,980.78

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Solution

The fourth proportional to 49,201.46, 67,897.74 and 27,980.78 is: 38,613.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,201.46 : 67,897.74 = 27,980.78 : x
  2. Step 2: Convert to fraction form
    49,201.46/67,897.74 = 27,980.78/x
  3. Step 3: Cross multiply
    49,201.46x = 67,897.74 × 27,980.78
  4. Step 4: Simplify right side
    49,201.46x = 1,899,831,725.44
  5. Step 5: Solve for x
    x = 1,899,831,725.44/49,201.46
  6. Step 6: Final answer
    x = 38,613.32

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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.