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Finding the Fourth Proportional to 43,707, 65,560.68 and 16,005

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Solution

The fourth proportional to 43,707, 65,560.68 and 16,005 is: 24,007.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,707 : 65,560.68 = 16,005 : x
  2. Step 2: Convert to fraction form
    43,707/65,560.68 = 16,005/x
  3. Step 3: Cross multiply
    43,707x = 65,560.68 × 16,005
  4. Step 4: Simplify right side
    43,707x = 1,049,298,683.40
  5. Step 5: Solve for x
    x = 1,049,298,683.40/43,707
  6. Step 6: Final answer
    x = 24,007.57

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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.