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Finding the Fourth Proportional to 33,223.76, 49,828.84 and 9,524.95

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Solution

The fourth proportional to 33,223.76, 49,828.84 and 9,524.95 is: 14,285.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,223.76 : 49,828.84 = 9,524.95 : x
  2. Step 2: Convert to fraction form
    33,223.76/49,828.84 = 9,524.95/x
  3. Step 3: Cross multiply
    33,223.76x = 49,828.84 × 9,524.95
  4. Step 4: Simplify right side
    33,223.76x = 474,617,276.89
  5. Step 5: Solve for x
    x = 474,617,276.89/33,223.76
  6. Step 6: Final answer
    x = 14,285.48

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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.