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Finding the Fourth Proportional to 32,165.64, 44,391.24 and 18,019.80

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Solution

The fourth proportional to 32,165.64, 44,391.24 and 18,019.80 is: 24,868.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,165.64 : 44,391.24 = 18,019.80 : x
  2. Step 2: Convert to fraction form
    32,165.64/44,391.24 = 18,019.80/x
  3. Step 3: Cross multiply
    32,165.64x = 44,391.24 × 18,019.80
  4. Step 4: Simplify right side
    32,165.64x = 799,921,266.55
  5. Step 5: Solve for x
    x = 799,921,266.55/32,165.64
  6. Step 6: Final answer
    x = 24,868.81

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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.