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Finding the Fourth Proportional to 33,908.50, 50,862.76 and 10,534.94

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Solution

The fourth proportional to 33,908.50, 50,862.76 and 10,534.94 is: 15,802.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,908.50 : 50,862.76 = 10,534.94 : x
  2. Step 2: Convert to fraction form
    33,908.50/50,862.76 = 10,534.94/x
  3. Step 3: Cross multiply
    33,908.50x = 50,862.76 × 10,534.94
  4. Step 4: Simplify right side
    33,908.50x = 535,836,124.83
  5. Step 5: Solve for x
    x = 535,836,124.83/33,908.50
  6. Step 6: Final answer
    x = 15,802.41

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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.