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Finding the Fourth Proportional to 32,168.14, 48,307.02 and 20,942.60

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Solution

The fourth proportional to 32,168.14, 48,307.02 and 20,942.60 is: 31,449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,168.14 : 48,307.02 = 20,942.60 : x
  2. Step 2: Convert to fraction form
    32,168.14/48,307.02 = 20,942.60/x
  3. Step 3: Cross multiply
    32,168.14x = 48,307.02 × 20,942.60
  4. Step 4: Simplify right side
    32,168.14x = 1,011,674,597.05
  5. Step 5: Solve for x
    x = 1,011,674,597.05/32,168.14
  6. Step 6: Final answer
    x = 31,449.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.