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Finding the Fourth Proportional to 37,166.09, 51,305.22 and 22,828.23

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Solution

The fourth proportional to 37,166.09, 51,305.22 and 22,828.23 is: 31,512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,166.09 : 51,305.22 = 22,828.23 : x
  2. Step 2: Convert to fraction form
    37,166.09/51,305.22 = 22,828.23/x
  3. Step 3: Cross multiply
    37,166.09x = 51,305.22 × 22,828.23
  4. Step 4: Simplify right side
    37,166.09x = 1,171,207,362.36
  5. Step 5: Solve for x
    x = 1,171,207,362.36/37,166.09
  6. Step 6: Final answer
    x = 31,512.80

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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.