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Finding the Fourth Proportional to 30,431.54, 41,987.85 and 17,853.86

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Solution

The fourth proportional to 30,431.54, 41,987.85 and 17,853.86 is: 24,633.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,431.54 : 41,987.85 = 17,853.86 : x
  2. Step 2: Convert to fraction form
    30,431.54/41,987.85 = 17,853.86/x
  3. Step 3: Cross multiply
    30,431.54x = 41,987.85 × 17,853.86
  4. Step 4: Simplify right side
    30,431.54x = 749,645,195.60
  5. Step 5: Solve for x
    x = 749,645,195.60/30,431.54
  6. Step 6: Final answer
    x = 24,633.82

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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.