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Finding the Fourth Proportional to 32,771.52, 49,223.52 and 19,648.80

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Solution

The fourth proportional to 32,771.52, 49,223.52 and 19,648.80 is: 29,512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,771.52 : 49,223.52 = 19,648.80 : x
  2. Step 2: Convert to fraction form
    32,771.52/49,223.52 = 19,648.80/x
  3. Step 3: Cross multiply
    32,771.52x = 49,223.52 × 19,648.80
  4. Step 4: Simplify right side
    32,771.52x = 967,183,099.78
  5. Step 5: Solve for x
    x = 967,183,099.78/32,771.52
  6. Step 6: Final answer
    x = 29,512.92

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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.