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Finding the Fourth Proportional to 30,166.21, 45,232.71 and 16,142.68

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Solution

The fourth proportional to 30,166.21, 45,232.71 and 16,142.68 is: 24,205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,166.21 : 45,232.71 = 16,142.68 : x
  2. Step 2: Convert to fraction form
    30,166.21/45,232.71 = 16,142.68/x
  3. Step 3: Cross multiply
    30,166.21x = 45,232.71 × 16,142.68
  4. Step 4: Simplify right side
    30,166.21x = 730,177,163.06
  5. Step 5: Solve for x
    x = 730,177,163.06/30,166.21
  6. Step 6: Final answer
    x = 24,205.13

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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.