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Finding the Fourth Proportional to 33,768.92, 50,649.54 and 9,143

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Solution

The fourth proportional to 33,768.92, 50,649.54 and 9,143 is: 13,713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,768.92 : 50,649.54 = 9,143 : x
  2. Step 2: Convert to fraction form
    33,768.92/50,649.54 = 9,143/x
  3. Step 3: Cross multiply
    33,768.92x = 50,649.54 × 9,143
  4. Step 4: Simplify right side
    33,768.92x = 463,088,744.22
  5. Step 5: Solve for x
    x = 463,088,744.22/33,768.92
  6. Step 6: Final answer
    x = 13,713.46

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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.