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Finding the Fourth Proportional to 55,172.08, 82,743.44 and 24,000

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Solution

The fourth proportional to 55,172.08, 82,743.44 and 24,000 is: 35,993.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,172.08 : 82,743.44 = 24,000 : x
  2. Step 2: Convert to fraction form
    55,172.08/82,743.44 = 24,000/x
  3. Step 3: Cross multiply
    55,172.08x = 82,743.44 × 24,000
  4. Step 4: Simplify right side
    55,172.08x = 1,985,842,560
  5. Step 5: Solve for x
    x = 1,985,842,560/55,172.08
  6. Step 6: Final answer
    x = 35,993.61

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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.