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Finding the Fourth Proportional to 43,719, 65,578.68 and 16,017

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Solution

The fourth proportional to 43,719, 65,578.68 and 16,017 is: 24,025.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,719 : 65,578.68 = 16,017 : x
  2. Step 2: Convert to fraction form
    43,719/65,578.68 = 16,017/x
  3. Step 3: Cross multiply
    43,719x = 65,578.68 × 16,017
  4. Step 4: Simplify right side
    43,719x = 1,050,373,717.56
  5. Step 5: Solve for x
    x = 1,050,373,717.56/43,719
  6. Step 6: Final answer
    x = 24,025.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.