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Finding the Fourth Proportional to 32,199.98, 44,438.54 and 17,861.22

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Solution

The fourth proportional to 32,199.98, 44,438.54 and 17,861.22 is: 24,649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,199.98 : 44,438.54 = 17,861.22 : x
  2. Step 2: Convert to fraction form
    32,199.98/44,438.54 = 17,861.22/x
  3. Step 3: Cross multiply
    32,199.98x = 44,438.54 × 17,861.22
  4. Step 4: Simplify right side
    32,199.98x = 793,726,450.11
  5. Step 5: Solve for x
    x = 793,726,450.11/32,199.98
  6. Step 6: Final answer
    x = 24,649.91

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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.