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Finding the Fourth Proportional to 34,028.50, 51,053.10 and 17,400.21

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Solution

The fourth proportional to 34,028.50, 51,053.10 and 17,400.21 is: 26,105.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,028.50 : 51,053.10 = 17,400.21 : x
  2. Step 2: Convert to fraction form
    34,028.50/51,053.10 = 17,400.21/x
  3. Step 3: Cross multiply
    34,028.50x = 51,053.10 × 17,400.21
  4. Step 4: Simplify right side
    34,028.50x = 888,334,661.15
  5. Step 5: Solve for x
    x = 888,334,661.15/34,028.50
  6. Step 6: Final answer
    x = 26,105.61

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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.