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Finding the Fourth Proportional to 33,509.78, 50,264.76 and 11,317.22

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Solution

The fourth proportional to 33,509.78, 50,264.76 and 11,317.22 is: 16,975.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,509.78 : 50,264.76 = 11,317.22 : x
  2. Step 2: Convert to fraction form
    33,509.78/50,264.76 = 11,317.22/x
  3. Step 3: Cross multiply
    33,509.78x = 50,264.76 × 11,317.22
  4. Step 4: Simplify right side
    33,509.78x = 568,857,347.17
  5. Step 5: Solve for x
    x = 568,857,347.17/33,509.78
  6. Step 6: Final answer
    x = 16,975.86

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1.5x scale

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.