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Finding the Fourth Proportional to 30,000.16, 44,965.68 and 16,120

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Solution

The fourth proportional to 30,000.16, 44,965.68 and 16,120 is: 24,161.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,000.16 : 44,965.68 = 16,120 : x
  2. Step 2: Convert to fraction form
    30,000.16/44,965.68 = 16,120/x
  3. Step 3: Cross multiply
    30,000.16x = 44,965.68 × 16,120
  4. Step 4: Simplify right side
    30,000.16x = 724,846,761.60
  5. Step 5: Solve for x
    x = 724,846,761.60/30,000.16
  6. Step 6: Final answer
    x = 24,161.43

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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.