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Finding the Fourth Proportional to 49,004.64, 67,638.42 and 27,796.32

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Solution

The fourth proportional to 49,004.64, 67,638.42 and 27,796.32 is: 38,365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,004.64 : 67,638.42 = 27,796.32 : x
  2. Step 2: Convert to fraction form
    49,004.64/67,638.42 = 27,796.32/x
  3. Step 3: Cross multiply
    49,004.64x = 67,638.42 × 27,796.32
  4. Step 4: Simplify right side
    49,004.64x = 1,880,099,166.61
  5. Step 5: Solve for x
    x = 1,880,099,166.61/49,004.64
  6. Step 6: Final answer
    x = 38,365.74

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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.