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Finding the Fourth Proportional to 43,333.68, 65,002.96 and 12,166.50

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Solution

The fourth proportional to 43,333.68, 65,002.96 and 12,166.50 is: 18,250.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,333.68 : 65,002.96 = 12,166.50 : x
  2. Step 2: Convert to fraction form
    43,333.68/65,002.96 = 12,166.50/x
  3. Step 3: Cross multiply
    43,333.68x = 65,002.96 × 12,166.50
  4. Step 4: Simplify right side
    43,333.68x = 790,858,512.84
  5. Step 5: Solve for x
    x = 790,858,512.84/43,333.68
  6. Step 6: Final answer
    x = 18,250.44

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Why These Related Problems?

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