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Finding the Fourth Proportional to 30,078.50, 41,507.72 and 16,649.76

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Solution

The fourth proportional to 30,078.50, 41,507.72 and 16,649.76 is: 22,976.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,078.50 : 41,507.72 = 16,649.76 : x
  2. Step 2: Convert to fraction form
    30,078.50/41,507.72 = 16,649.76/x
  3. Step 3: Cross multiply
    30,078.50x = 41,507.72 × 16,649.76
  4. Step 4: Simplify right side
    30,078.50x = 691,093,576.15
  5. Step 5: Solve for x
    x = 691,093,576.15/30,078.50
  6. Step 6: Final answer
    x = 22,976.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.