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Finding the Fourth Proportional to 49,118.01, 67,784.48 and 27,611.49

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Solution

The fourth proportional to 49,118.01, 67,784.48 and 27,611.49 is: 38,104.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,118.01 : 67,784.48 = 27,611.49 : x
  2. Step 2: Convert to fraction form
    49,118.01/67,784.48 = 27,611.49/x
  3. Step 3: Cross multiply
    49,118.01x = 67,784.48 × 27,611.49
  4. Step 4: Simplify right side
    49,118.01x = 1,871,630,491.68
  5. Step 5: Solve for x
    x = 1,871,630,491.68/49,118.01
  6. Step 6: Final answer
    x = 38,104.77

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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.