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Finding the Fourth Proportional to 32,369.63, 44,671.91 and 18,223.38

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Solution

The fourth proportional to 32,369.63, 44,671.91 and 18,223.38 is: 25,149.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,369.63 : 44,671.91 = 18,223.38 : x
  2. Step 2: Convert to fraction form
    32,369.63/44,671.91 = 18,223.38/x
  3. Step 3: Cross multiply
    32,369.63x = 44,671.91 × 18,223.38
  4. Step 4: Simplify right side
    32,369.63x = 814,073,100.14
  5. Step 5: Solve for x
    x = 814,073,100.14/32,369.63
  6. Step 6: Final answer
    x = 25,149.29

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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.