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Finding the Fourth Proportional to 30,832.49, 46,250.02 and 9,772.07

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Solution

The fourth proportional to 30,832.49, 46,250.02 and 9,772.07 is: 14,658.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,832.49 : 46,250.02 = 9,772.07 : x
  2. Step 2: Convert to fraction form
    30,832.49/46,250.02 = 9,772.07/x
  3. Step 3: Cross multiply
    30,832.49x = 46,250.02 × 9,772.07
  4. Step 4: Simplify right side
    30,832.49x = 451,958,201.69
  5. Step 5: Solve for x
    x = 451,958,201.69/30,832.49
  6. Step 6: Final answer
    x = 14,658.51

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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.