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Finding the Fourth Proportional to 33,421, 50,131.50 and 10,047.46

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Solution

The fourth proportional to 33,421, 50,131.50 and 10,047.46 is: 15,071.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,421 : 50,131.50 = 10,047.46 : x
  2. Step 2: Convert to fraction form
    33,421/50,131.50 = 10,047.46/x
  3. Step 3: Cross multiply
    33,421x = 50,131.50 × 10,047.46
  4. Step 4: Simplify right side
    33,421x = 503,694,240.99
  5. Step 5: Solve for x
    x = 503,694,240.99/33,421
  6. Step 6: Final answer
    x = 15,071.19

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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.