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Finding the Fourth Proportional to 32,728.98, 49,092.49 and 9,037.97

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Solution

The fourth proportional to 32,728.98, 49,092.49 and 9,037.97 is: 13,556.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,728.98 : 49,092.49 = 9,037.97 : x
  2. Step 2: Convert to fraction form
    32,728.98/49,092.49 = 9,037.97/x
  3. Step 3: Cross multiply
    32,728.98x = 49,092.49 × 9,037.97
  4. Step 4: Simplify right side
    32,728.98x = 443,696,451.85
  5. Step 5: Solve for x
    x = 443,696,451.85/32,728.98
  6. Step 6: Final answer
    x = 13,556.68

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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.