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Finding the Fourth Proportional to 53,844.84, 80,693.35 and 27,494.33

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Solution

The fourth proportional to 53,844.84, 80,693.35 and 27,494.33 is: 41,203.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,844.84 : 80,693.35 = 27,494.33 : x
  2. Step 2: Convert to fraction form
    53,844.84/80,693.35 = 27,494.33/x
  3. Step 3: Cross multiply
    53,844.84x = 80,693.35 × 27,494.33
  4. Step 4: Simplify right side
    53,844.84x = 2,218,609,121.50
  5. Step 5: Solve for x
    x = 2,218,609,121.50/53,844.84
  6. Step 6: Final answer
    x = 41,203.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.