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Finding the Fourth Proportional to 46,509.87, 69,729.68 and 23,996.43

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Solution

The fourth proportional to 46,509.87, 69,729.68 and 23,996.43 is: 35,976.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,509.87 : 69,729.68 = 23,996.43 : x
  2. Step 2: Convert to fraction form
    46,509.87/69,729.68 = 23,996.43/x
  3. Step 3: Cross multiply
    46,509.87x = 69,729.68 × 23,996.43
  4. Step 4: Simplify right side
    46,509.87x = 1,673,263,265.06
  5. Step 5: Solve for x
    x = 1,673,263,265.06/46,509.87
  6. Step 6: Final answer
    x = 35,976.52

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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.