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Finding the Fourth Proportional to 30,741.72, 42,412.17 and 20,137.20

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Solution

The fourth proportional to 30,741.72, 42,412.17 and 20,137.20 is: 27,781.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,741.72 : 42,412.17 = 20,137.20 : x
  2. Step 2: Convert to fraction form
    30,741.72/42,412.17 = 20,137.20/x
  3. Step 3: Cross multiply
    30,741.72x = 42,412.17 × 20,137.20
  4. Step 4: Simplify right side
    30,741.72x = 854,062,349.72
  5. Step 5: Solve for x
    x = 854,062,349.72/30,741.72
  6. Step 6: Final answer
    x = 27,781.87

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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.