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Finding the Fourth Proportional to 37,087.26, 51,184.71 and 21,174

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Solution

The fourth proportional to 37,087.26, 51,184.71 and 21,174 is: 29,222.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,087.26 : 51,184.71 = 21,174 : x
  2. Step 2: Convert to fraction form
    37,087.26/51,184.71 = 21,174/x
  3. Step 3: Cross multiply
    37,087.26x = 51,184.71 × 21,174
  4. Step 4: Simplify right side
    37,087.26x = 1,083,785,049.54
  5. Step 5: Solve for x
    x = 1,083,785,049.54/37,087.26
  6. Step 6: Final answer
    x = 29,222.57

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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.