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Finding the Fourth Proportional to 30,753.86, 42,447.23 and 20,137.32

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Solution

The fourth proportional to 30,753.86, 42,447.23 and 20,137.32 is: 27,794.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,753.86 : 42,447.23 = 20,137.32 : x
  2. Step 2: Convert to fraction form
    30,753.86/42,447.23 = 20,137.32/x
  3. Step 3: Cross multiply
    30,753.86x = 42,447.23 × 20,137.32
  4. Step 4: Simplify right side
    30,753.86x = 854,773,352.94
  5. Step 5: Solve for x
    x = 854,773,352.94/30,753.86
  6. Step 6: Final answer
    x = 27,794.02

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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.