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Finding the Fourth Proportional to 30,682.16, 46,032.90 and 10,960.28

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Solution

The fourth proportional to 30,682.16, 46,032.90 and 10,960.28 is: 16,443.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682.16 : 46,032.90 = 10,960.28 : x
  2. Step 2: Convert to fraction form
    30,682.16/46,032.90 = 10,960.28/x
  3. Step 3: Cross multiply
    30,682.16x = 46,032.90 × 10,960.28
  4. Step 4: Simplify right side
    30,682.16x = 504,533,473.21
  5. Step 5: Solve for x
    x = 504,533,473.21/30,682.16
  6. Step 6: Final answer
    x = 16,443.87

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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.