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Finding the Fourth Proportional to 33,776.49, 50,664.08 and 10,083.99

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Solution

The fourth proportional to 33,776.49, 50,664.08 and 10,083.99 is: 15,125.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,776.49 : 50,664.08 = 10,083.99 : x
  2. Step 2: Convert to fraction form
    33,776.49/50,664.08 = 10,083.99/x
  3. Step 3: Cross multiply
    33,776.49x = 50,664.08 × 10,083.99
  4. Step 4: Simplify right side
    33,776.49x = 510,896,291.28
  5. Step 5: Solve for x
    x = 510,896,291.28/33,776.49
  6. Step 6: Final answer
    x = 15,125.79

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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.