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Finding the Fourth Proportional to 30,284.94, 45,424.22 and 8,100.56

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Solution

The fourth proportional to 30,284.94, 45,424.22 and 8,100.56 is: 12,149.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,284.94 : 45,424.22 = 8,100.56 : x
  2. Step 2: Convert to fraction form
    30,284.94/45,424.22 = 8,100.56/x
  3. Step 3: Cross multiply
    30,284.94x = 45,424.22 × 8,100.56
  4. Step 4: Simplify right side
    30,284.94x = 367,961,351.94
  5. Step 5: Solve for x
    x = 367,961,351.94/30,284.94
  6. Step 6: Final answer
    x = 12,149.98

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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.