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Finding the Fourth Proportional to 37,644.08, 51,971.36 and 23,516.08

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Solution

The fourth proportional to 37,644.08, 51,971.36 and 23,516.08 is: 32,466.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,644.08 : 51,971.36 = 23,516.08 : x
  2. Step 2: Convert to fraction form
    37,644.08/51,971.36 = 23,516.08/x
  3. Step 3: Cross multiply
    37,644.08x = 51,971.36 × 23,516.08
  4. Step 4: Simplify right side
    37,644.08x = 1,222,162,659.47
  5. Step 5: Solve for x
    x = 1,222,162,659.47/37,644.08
  6. Step 6: Final answer
    x = 32,466.26

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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.