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Finding the Fourth Proportional to 111,002.40, 166,455 and 32,114.88

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Solution

The fourth proportional to 111,002.40, 166,455 and 32,114.88 is: 48,158.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,002.40 : 166,455 = 32,114.88 : x
  2. Step 2: Convert to fraction form
    111,002.40/166,455 = 32,114.88/x
  3. Step 3: Cross multiply
    111,002.40x = 166,455 × 32,114.88
  4. Step 4: Simplify right side
    111,002.40x = 5,345,682,350.40
  5. Step 5: Solve for x
    x = 5,345,682,350.40/111,002.40
  6. Step 6: Final answer
    x = 48,158.26

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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.