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Finding the Fourth Proportional to 38,540.86, 53,171.44 and 24,194.60

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Solution

The fourth proportional to 38,540.86, 53,171.44 and 24,194.60 is: 33,379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,540.86 : 53,171.44 = 24,194.60 : x
  2. Step 2: Convert to fraction form
    38,540.86/53,171.44 = 24,194.60/x
  3. Step 3: Cross multiply
    38,540.86x = 53,171.44 × 24,194.60
  4. Step 4: Simplify right side
    38,540.86x = 1,286,461,595.27
  5. Step 5: Solve for x
    x = 1,286,461,595.27/38,540.86
  6. Step 6: Final answer
    x = 33,379.16

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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.