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Finding the Fourth Proportional to 32,754.78, 49,135.34 and 13,028.99

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Solution

The fourth proportional to 32,754.78, 49,135.34 and 13,028.99 is: 19,544.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,754.78 : 49,135.34 = 13,028.99 : x
  2. Step 2: Convert to fraction form
    32,754.78/49,135.34 = 13,028.99/x
  3. Step 3: Cross multiply
    32,754.78x = 49,135.34 × 13,028.99
  4. Step 4: Simplify right side
    32,754.78x = 640,183,640.40
  5. Step 5: Solve for x
    x = 640,183,640.40/32,754.78
  6. Step 6: Final answer
    x = 19,544.74

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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.