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Finding the Fourth Proportional to 33,966, 50,954.76 and 10,587.78

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Solution

The fourth proportional to 33,966, 50,954.76 and 10,587.78 is: 15,883.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,966 : 50,954.76 = 10,587.78 : x
  2. Step 2: Convert to fraction form
    33,966/50,954.76 = 10,587.78/x
  3. Step 3: Cross multiply
    33,966x = 50,954.76 × 10,587.78
  4. Step 4: Simplify right side
    33,966x = 539,497,788.83
  5. Step 5: Solve for x
    x = 539,497,788.83/33,966
  6. Step 6: Final answer
    x = 15,883.47

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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.