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Finding the Fourth Proportional to 30,998.75, 46,498.15 and 10,222.25

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Solution

The fourth proportional to 30,998.75, 46,498.15 and 10,222.25 is: 15,333.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,998.75 : 46,498.15 = 10,222.25 : x
  2. Step 2: Convert to fraction form
    30,998.75/46,498.15 = 10,222.25/x
  3. Step 3: Cross multiply
    30,998.75x = 46,498.15 × 10,222.25
  4. Step 4: Simplify right side
    30,998.75x = 475,315,713.84
  5. Step 5: Solve for x
    x = 475,315,713.84/30,998.75
  6. Step 6: Final answer
    x = 15,333.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.