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Finding the Fourth Proportional to 33,194.88, 49,792.32 and 9,819.50

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Solution

The fourth proportional to 33,194.88, 49,792.32 and 9,819.50 is: 14,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,194.88 : 49,792.32 = 9,819.50 : x
  2. Step 2: Convert to fraction form
    33,194.88/49,792.32 = 9,819.50/x
  3. Step 3: Cross multiply
    33,194.88x = 49,792.32 × 9,819.50
  4. Step 4: Simplify right side
    33,194.88x = 488,935,437.28
  5. Step 5: Solve for x
    x = 488,935,437.28/33,194.88
  6. Step 6: Final answer
    x = 14,729.24

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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.