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Finding the Fourth Proportional to 32,028.18, 44,202.64 and 18,600

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Solution

The fourth proportional to 32,028.18, 44,202.64 and 18,600 is: 25,670.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,028.18 : 44,202.64 = 18,600 : x
  2. Step 2: Convert to fraction form
    32,028.18/44,202.64 = 18,600/x
  3. Step 3: Cross multiply
    32,028.18x = 44,202.64 × 18,600
  4. Step 4: Simplify right side
    32,028.18x = 822,169,104
  5. Step 5: Solve for x
    x = 822,169,104/32,028.18
  6. Step 6: Final answer
    x = 25,670.18

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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.