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Finding the Fourth Proportional to 30,682.70, 46,009.32 and 10,956.57

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Solution

The fourth proportional to 30,682.70, 46,009.32 and 10,956.57 is: 16,429.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682.70 : 46,009.32 = 10,956.57 : x
  2. Step 2: Convert to fraction form
    30,682.70/46,009.32 = 10,956.57/x
  3. Step 3: Cross multiply
    30,682.70x = 46,009.32 × 10,956.57
  4. Step 4: Simplify right side
    30,682.70x = 504,104,121.61
  5. Step 5: Solve for x
    x = 504,104,121.61/30,682.70
  6. Step 6: Final answer
    x = 16,429.59

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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.