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Finding the Fourth Proportional to 30,241.63, 45,265.39 and 16,166.46

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Solution

The fourth proportional to 30,241.63, 45,265.39 and 16,166.46 is: 24,197.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,241.63 : 45,265.39 = 16,166.46 : x
  2. Step 2: Convert to fraction form
    30,241.63/45,265.39 = 16,166.46/x
  3. Step 3: Cross multiply
    30,241.63x = 45,265.39 × 16,166.46
  4. Step 4: Simplify right side
    30,241.63x = 731,781,116.82
  5. Step 5: Solve for x
    x = 731,781,116.82/30,241.63
  6. Step 6: Final answer
    x = 24,197.81

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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.