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Finding the Fourth Proportional to 30,165.21, 45,231.21 and 16,141.68

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Solution

The fourth proportional to 30,165.21, 45,231.21 and 16,141.68 is: 24,203.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,165.21 : 45,231.21 = 16,141.68 : x
  2. Step 2: Convert to fraction form
    30,165.21/45,231.21 = 16,141.68/x
  3. Step 3: Cross multiply
    30,165.21x = 45,231.21 × 16,141.68
  4. Step 4: Simplify right side
    30,165.21x = 730,107,717.83
  5. Step 5: Solve for x
    x = 730,107,717.83/30,165.21
  6. Step 6: Final answer
    x = 24,203.63

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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.