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Finding the Fourth Proportional to 33,007, 45,551.82 and 18,103

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Solution

The fourth proportional to 33,007, 45,551.82 and 18,103 is: 24,983.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,007 : 45,551.82 = 18,103 : x
  2. Step 2: Convert to fraction form
    33,007/45,551.82 = 18,103/x
  3. Step 3: Cross multiply
    33,007x = 45,551.82 × 18,103
  4. Step 4: Simplify right side
    33,007x = 824,624,597.46
  5. Step 5: Solve for x
    x = 824,624,597.46/33,007
  6. Step 6: Final answer
    x = 24,983.32

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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.