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Finding the Fourth Proportional to 33,838.76, 50,744.17 and 12,775.22

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Solution

The fourth proportional to 33,838.76, 50,744.17 and 12,775.22 is: 19,157.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,838.76 : 50,744.17 = 12,775.22 : x
  2. Step 2: Convert to fraction form
    33,838.76/50,744.17 = 12,775.22/x
  3. Step 3: Cross multiply
    33,838.76x = 50,744.17 × 12,775.22
  4. Step 4: Simplify right side
    33,838.76x = 648,267,888.01
  5. Step 5: Solve for x
    x = 648,267,888.01/33,838.76
  6. Step 6: Final answer
    x = 19,157.55

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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.