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Finding the Fourth Proportional to 30,906.89, 46,357.77 and 9,846.08

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Solution

The fourth proportional to 30,906.89, 46,357.77 and 9,846.08 is: 14,768.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,906.89 : 46,357.77 = 9,846.08 : x
  2. Step 2: Convert to fraction form
    30,906.89/46,357.77 = 9,846.08/x
  3. Step 3: Cross multiply
    30,906.89x = 46,357.77 × 9,846.08
  4. Step 4: Simplify right side
    30,906.89x = 456,442,196.15
  5. Step 5: Solve for x
    x = 456,442,196.15/30,906.89
  6. Step 6: Final answer
    x = 14,768.30

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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.