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Finding the Fourth Proportional to 38,997.78, 53,816.88 and 22,002

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Solution

The fourth proportional to 38,997.78, 53,816.88 and 22,002 is: 30,362.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,997.78 : 53,816.88 = 22,002 : x
  2. Step 2: Convert to fraction form
    38,997.78/53,816.88 = 22,002/x
  3. Step 3: Cross multiply
    38,997.78x = 53,816.88 × 22,002
  4. Step 4: Simplify right side
    38,997.78x = 1,184,078,993.76
  5. Step 5: Solve for x
    x = 1,184,078,993.76/38,997.78
  6. Step 6: Final answer
    x = 30,362.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.