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Finding the Fourth Proportional to 37,096.51, 51,193.13 and 20,101.19

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Solution

The fourth proportional to 37,096.51, 51,193.13 and 20,101.19 is: 27,739.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,096.51 : 51,193.13 = 20,101.19 : x
  2. Step 2: Convert to fraction form
    37,096.51/51,193.13 = 20,101.19/x
  3. Step 3: Cross multiply
    37,096.51x = 51,193.13 × 20,101.19
  4. Step 4: Simplify right side
    37,096.51x = 1,029,042,627.11
  5. Step 5: Solve for x
    x = 1,029,042,627.11/37,096.51
  6. Step 6: Final answer
    x = 27,739.61

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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.