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Finding the Fourth Proportional to 43,954.68, 65,931.36 and 10,675

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Solution

The fourth proportional to 43,954.68, 65,931.36 and 10,675 is: 16,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,954.68 : 65,931.36 = 10,675 : x
  2. Step 2: Convert to fraction form
    43,954.68/65,931.36 = 10,675/x
  3. Step 3: Cross multiply
    43,954.68x = 65,931.36 × 10,675
  4. Step 4: Simplify right side
    43,954.68x = 703,817,268
  5. Step 5: Solve for x
    x = 703,817,268/43,954.68
  6. Step 6: Final answer
    x = 16,012.34

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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.