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Finding the Fourth Proportional to 49,554, 68,388.96 and 27,202.32

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Solution

The fourth proportional to 49,554, 68,388.96 and 27,202.32 is: 37,541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,554 : 68,388.96 = 27,202.32 : x
  2. Step 2: Convert to fraction form
    49,554/68,388.96 = 27,202.32/x
  3. Step 3: Cross multiply
    49,554x = 68,388.96 × 27,202.32
  4. Step 4: Simplify right side
    49,554x = 1,860,338,374.39
  5. Step 5: Solve for x
    x = 1,860,338,374.39/49,554
  6. Step 6: Final answer
    x = 37,541.64

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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.