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Finding the Fourth Proportional to 30,942.39, 46,382.00 and 12,235.34

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Solution

The fourth proportional to 30,942.39, 46,382.00 and 12,235.34 is: 18,340.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,942.39 : 46,382.00 = 12,235.34 : x
  2. Step 2: Convert to fraction form
    30,942.39/46,382.00 = 12,235.34/x
  3. Step 3: Cross multiply
    30,942.39x = 46,382.00 × 12,235.34
  4. Step 4: Simplify right side
    30,942.39x = 567,499,246.79
  5. Step 5: Solve for x
    x = 567,499,246.79/30,942.39
  6. Step 6: Final answer
    x = 18,340.51

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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.