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Finding the Fourth Proportional to 30,993.63, 46,490.44 and 10,217.13

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Solution

The fourth proportional to 30,993.63, 46,490.44 and 10,217.13 is: 15,325.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,993.63 : 46,490.44 = 10,217.13 : x
  2. Step 2: Convert to fraction form
    30,993.63/46,490.44 = 10,217.13/x
  3. Step 3: Cross multiply
    30,993.63x = 46,490.44 × 10,217.13
  4. Step 4: Simplify right side
    30,993.63x = 474,998,869.24
  5. Step 5: Solve for x
    x = 474,998,869.24/30,993.63
  6. Step 6: Final answer
    x = 15,325.69

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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.