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Finding the Fourth Proportional to 38,853.59, 53,617.87 and 21,857.84

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Solution

The fourth proportional to 38,853.59, 53,617.87 and 21,857.84 is: 30,163.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,853.59 : 53,617.87 = 21,857.84 : x
  2. Step 2: Convert to fraction form
    38,853.59/53,617.87 = 21,857.84/x
  3. Step 3: Cross multiply
    38,853.59x = 53,617.87 × 21,857.84
  4. Step 4: Simplify right side
    38,853.59x = 1,171,970,500.87
  5. Step 5: Solve for x
    x = 1,171,970,500.87/38,853.59
  6. Step 6: Final answer
    x = 30,163.77

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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.