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Finding the Fourth Proportional to 30,712.96, 42,408.30 and 20,650.24

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Solution

The fourth proportional to 30,712.96, 42,408.30 and 20,650.24 is: 28,513.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,712.96 : 42,408.30 = 20,650.24 : x
  2. Step 2: Convert to fraction form
    30,712.96/42,408.30 = 20,650.24/x
  3. Step 3: Cross multiply
    30,712.96x = 42,408.30 × 20,650.24
  4. Step 4: Simplify right side
    30,712.96x = 875,741,572.99
  5. Step 5: Solve for x
    x = 875,741,572.99/30,712.96
  6. Step 6: Final answer
    x = 28,513.75

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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.