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Finding the Fourth Proportional to 33,040.68, 49,562.54 and 9,350

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Solution

The fourth proportional to 33,040.68, 49,562.54 and 9,350 is: 14,025.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,040.68 : 49,562.54 = 9,350 : x
  2. Step 2: Convert to fraction form
    33,040.68/49,562.54 = 9,350/x
  3. Step 3: Cross multiply
    33,040.68x = 49,562.54 × 9,350
  4. Step 4: Simplify right side
    33,040.68x = 463,409,749
  5. Step 5: Solve for x
    x = 463,409,749/33,040.68
  6. Step 6: Final answer
    x = 14,025.43

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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.