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Finding the Fourth Proportional to 37,089.83, 51,183.89 and 20,094.50

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Solution

The fourth proportional to 37,089.83, 51,183.89 and 20,094.50 is: 27,730.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,089.83 : 51,183.89 = 20,094.50 : x
  2. Step 2: Convert to fraction form
    37,089.83/51,183.89 = 20,094.50/x
  3. Step 3: Cross multiply
    37,089.83x = 51,183.89 × 20,094.50
  4. Step 4: Simplify right side
    37,089.83x = 1,028,514,699.41
  5. Step 5: Solve for x
    x = 1,028,514,699.41/37,089.83
  6. Step 6: Final answer
    x = 27,730.37

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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.