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Finding the Fourth Proportional to 33,006, 45,550.44 and 18,102

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Solution

The fourth proportional to 33,006, 45,550.44 and 18,102 is: 24,981.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,006 : 45,550.44 = 18,102 : x
  2. Step 2: Convert to fraction form
    33,006/45,550.44 = 18,102/x
  3. Step 3: Cross multiply
    33,006x = 45,550.44 × 18,102
  4. Step 4: Simplify right side
    33,006x = 824,554,064.88
  5. Step 5: Solve for x
    x = 824,554,064.88/33,006
  6. Step 6: Final answer
    x = 24,981.94

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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.