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Finding the Fourth Proportional to 33,203.70, 49,799.43 and 9,824.58

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Solution

The fourth proportional to 33,203.70, 49,799.43 and 9,824.58 is: 14,735.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,203.70 : 49,799.43 = 9,824.58 : x
  2. Step 2: Convert to fraction form
    33,203.70/49,799.43 = 9,824.58/x
  3. Step 3: Cross multiply
    33,203.70x = 49,799.43 × 9,824.58
  4. Step 4: Simplify right side
    33,203.70x = 489,258,483.99
  5. Step 5: Solve for x
    x = 489,258,483.99/33,203.70
  6. Step 6: Final answer
    x = 14,735.06

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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.