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Finding the Fourth Proportional to 33,838, 50,759.40 and 10,461.40

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Solution

The fourth proportional to 33,838, 50,759.40 and 10,461.40 is: 15,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,838 : 50,759.40 = 10,461.40 : x
  2. Step 2: Convert to fraction form
    33,838/50,759.40 = 10,461.40/x
  3. Step 3: Cross multiply
    33,838x = 50,759.40 × 10,461.40
  4. Step 4: Simplify right side
    33,838x = 531,014,387.16
  5. Step 5: Solve for x
    x = 531,014,387.16/33,838
  6. Step 6: Final answer
    x = 15,692.84

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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.