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Finding the Fourth Proportional to 30,685.80, 46,022.04 and 10,965.72

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Solution

The fourth proportional to 30,685.80, 46,022.04 and 10,965.72 is: 16,446.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,685.80 : 46,022.04 = 10,965.72 : x
  2. Step 2: Convert to fraction form
    30,685.80/46,022.04 = 10,965.72/x
  3. Step 3: Cross multiply
    30,685.80x = 46,022.04 × 10,965.72
  4. Step 4: Simplify right side
    30,685.80x = 504,664,804.47
  5. Step 5: Solve for x
    x = 504,664,804.47/30,685.80
  6. Step 6: Final answer
    x = 16,446.20

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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.