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Finding the Fourth Proportional to 30,168.86, 45,241.13 and 9,102.38

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Solution

The fourth proportional to 30,168.86, 45,241.13 and 9,102.38 is: 13,649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,168.86 : 45,241.13 = 9,102.38 : x
  2. Step 2: Convert to fraction form
    30,168.86/45,241.13 = 9,102.38/x
  3. Step 3: Cross multiply
    30,168.86x = 45,241.13 × 9,102.38
  4. Step 4: Simplify right side
    30,168.86x = 411,801,753.44
  5. Step 5: Solve for x
    x = 411,801,753.44/30,168.86
  6. Step 6: Final answer
    x = 13,649.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.