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Finding the Fourth Proportional to 32,002.18, 44,162.69 and 17,662.14

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Solution

The fourth proportional to 32,002.18, 44,162.69 and 17,662.14 is: 24,373.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.18 : 44,162.69 = 17,662.14 : x
  2. Step 2: Convert to fraction form
    32,002.18/44,162.69 = 17,662.14/x
  3. Step 3: Cross multiply
    32,002.18x = 44,162.69 × 17,662.14
  4. Step 4: Simplify right side
    32,002.18x = 780,007,525.25
  5. Step 5: Solve for x
    x = 780,007,525.25/32,002.18
  6. Step 6: Final answer
    x = 24,373.58

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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.