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Finding the Fourth Proportional to 38,853.21, 53,617.19 and 22,086.21

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Solution

The fourth proportional to 38,853.21, 53,617.19 and 22,086.21 is: 30,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,853.21 : 53,617.19 = 22,086.21 : x
  2. Step 2: Convert to fraction form
    38,853.21/53,617.19 = 22,086.21/x
  3. Step 3: Cross multiply
    38,853.21x = 53,617.19 × 22,086.21
  4. Step 4: Simplify right side
    38,853.21x = 1,184,200,407.52
  5. Step 5: Solve for x
    x = 1,184,200,407.52/38,853.21
  6. Step 6: Final answer
    x = 30,478.83

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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.