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Finding the Fourth Proportional to 32,375.41, 44,678 and 18,228.31

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Solution

The fourth proportional to 32,375.41, 44,678 and 18,228.31 is: 25,155.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,375.41 : 44,678 = 18,228.31 : x
  2. Step 2: Convert to fraction form
    32,375.41/44,678 = 18,228.31/x
  3. Step 3: Cross multiply
    32,375.41x = 44,678 × 18,228.31
  4. Step 4: Simplify right side
    32,375.41x = 814,404,434.18
  5. Step 5: Solve for x
    x = 814,404,434.18/32,375.41
  6. Step 6: Final answer
    x = 25,155.03

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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.