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Finding the Fourth Proportional to 33,207, 49,812.66 and 14,739

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Solution

The fourth proportional to 33,207, 49,812.66 and 14,739 is: 22,109.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,207 : 49,812.66 = 14,739 : x
  2. Step 2: Convert to fraction form
    33,207/49,812.66 = 14,739/x
  3. Step 3: Cross multiply
    33,207x = 49,812.66 × 14,739
  4. Step 4: Simplify right side
    33,207x = 734,188,795.74
  5. Step 5: Solve for x
    x = 734,188,795.74/33,207
  6. Step 6: Final answer
    x = 22,109.46

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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.