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Finding the Fourth Proportional to 33,107.81, 45,689.15 and 18,000.14

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Solution

The fourth proportional to 33,107.81, 45,689.15 and 18,000.14 is: 24,840.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,107.81 : 45,689.15 = 18,000.14 : x
  2. Step 2: Convert to fraction form
    33,107.81/45,689.15 = 18,000.14/x
  3. Step 3: Cross multiply
    33,107.81x = 45,689.15 × 18,000.14
  4. Step 4: Simplify right side
    33,107.81x = 822,410,913.04
  5. Step 5: Solve for x
    x = 822,410,913.04/33,107.81
  6. Step 6: Final answer
    x = 24,840.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.