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Finding the Fourth Proportional to 33,284.34, 49,923.24 and 9,910.98

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Solution

The fourth proportional to 33,284.34, 49,923.24 and 9,910.98 is: 14,865.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,284.34 : 49,923.24 = 9,910.98 : x
  2. Step 2: Convert to fraction form
    33,284.34/49,923.24 = 9,910.98/x
  3. Step 3: Cross multiply
    33,284.34x = 49,923.24 × 9,910.98
  4. Step 4: Simplify right side
    33,284.34x = 494,788,233.18
  5. Step 5: Solve for x
    x = 494,788,233.18/33,284.34
  6. Step 6: Final answer
    x = 14,865.50

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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.