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Finding the Fourth Proportional to 37,614.66, 51,889.86 and 31,644.15

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Solution

The fourth proportional to 37,614.66, 51,889.86 and 31,644.15 is: 43,653.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,614.66 : 51,889.86 = 31,644.15 : x
  2. Step 2: Convert to fraction form
    37,614.66/51,889.86 = 31,644.15/x
  3. Step 3: Cross multiply
    37,614.66x = 51,889.86 × 31,644.15
  4. Step 4: Simplify right side
    37,614.66x = 1,642,010,513.32
  5. Step 5: Solve for x
    x = 1,642,010,513.32/37,614.66
  6. Step 6: Final answer
    x = 43,653.47

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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.