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Finding the Fourth Proportional to 49,420, 68,199.84 and 27,064

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Solution

The fourth proportional to 49,420, 68,199.84 and 27,064 is: 37,348.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,420 : 68,199.84 = 27,064 : x
  2. Step 2: Convert to fraction form
    49,420/68,199.84 = 27,064/x
  3. Step 3: Cross multiply
    49,420x = 68,199.84 × 27,064
  4. Step 4: Simplify right side
    49,420x = 1,845,760,469.76
  5. Step 5: Solve for x
    x = 1,845,760,469.76/49,420
  6. Step 6: Final answer
    x = 37,348.45

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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.