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Finding the Fourth Proportional to 32,646, 48,969.96 and 8,022

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Solution

The fourth proportional to 32,646, 48,969.96 and 8,022 is: 12,033.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,646 : 48,969.96 = 8,022 : x
  2. Step 2: Convert to fraction form
    32,646/48,969.96 = 8,022/x
  3. Step 3: Cross multiply
    32,646x = 48,969.96 × 8,022
  4. Step 4: Simplify right side
    32,646x = 392,837,019.12
  5. Step 5: Solve for x
    x = 392,837,019.12/32,646
  6. Step 6: Final answer
    x = 12,033.24

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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.