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Finding the Fourth Proportional to 33,407.52, 50,112.24 and 11,220

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Solution

The fourth proportional to 33,407.52, 50,112.24 and 11,220 is: 16,830.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,407.52 : 50,112.24 = 11,220 : x
  2. Step 2: Convert to fraction form
    33,407.52/50,112.24 = 11,220/x
  3. Step 3: Cross multiply
    33,407.52x = 50,112.24 × 11,220
  4. Step 4: Simplify right side
    33,407.52x = 562,259,332.80
  5. Step 5: Solve for x
    x = 562,259,332.80/33,407.52
  6. Step 6: Final answer
    x = 16,830.32

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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.