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Finding the Fourth Proportional to 32,013, 44,178.34 and 18,584.82

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Solution

The fourth proportional to 32,013, 44,178.34 and 18,584.82 is: 25,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,013 : 44,178.34 = 18,584.82 : x
  2. Step 2: Convert to fraction form
    32,013/44,178.34 = 18,584.82/x
  3. Step 3: Cross multiply
    32,013x = 44,178.34 × 18,584.82
  4. Step 4: Simplify right side
    32,013x = 821,046,496.80
  5. Step 5: Solve for x
    x = 821,046,496.80/32,013
  6. Step 6: Final answer
    x = 25,647.28

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