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Finding the Fourth Proportional to 43,500.20, 65,252.78 and 12,333

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Solution

The fourth proportional to 43,500.20, 65,252.78 and 12,333 is: 18,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,500.20 : 65,252.78 = 12,333 : x
  2. Step 2: Convert to fraction form
    43,500.20/65,252.78 = 12,333/x
  3. Step 3: Cross multiply
    43,500.20x = 65,252.78 × 12,333
  4. Step 4: Simplify right side
    43,500.20x = 804,762,535.74
  5. Step 5: Solve for x
    x = 804,762,535.74/43,500.20
  6. Step 6: Final answer
    x = 18,500.20

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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.