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Finding the Fourth Proportional to 32,467.38, 44,805.16 and 18,321.14

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Solution

The fourth proportional to 32,467.38, 44,805.16 and 18,321.14 is: 25,283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,467.38 : 44,805.16 = 18,321.14 : x
  2. Step 2: Convert to fraction form
    32,467.38/44,805.16 = 18,321.14/x
  3. Step 3: Cross multiply
    32,467.38x = 44,805.16 × 18,321.14
  4. Step 4: Simplify right side
    32,467.38x = 820,881,609.08
  5. Step 5: Solve for x
    x = 820,881,609.08/32,467.38
  6. Step 6: Final answer
    x = 25,283.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.