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Finding the Fourth Proportional to 37,090.50, 51,184.89 and 22,186.50

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Solution

The fourth proportional to 37,090.50, 51,184.89 and 22,186.50 is: 30,617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,090.50 : 51,184.89 = 22,186.50 : x
  2. Step 2: Convert to fraction form
    37,090.50/51,184.89 = 22,186.50/x
  3. Step 3: Cross multiply
    37,090.50x = 51,184.89 × 22,186.50
  4. Step 4: Simplify right side
    37,090.50x = 1,135,613,561.99
  5. Step 5: Solve for x
    x = 1,135,613,561.99/37,090.50
  6. Step 6: Final answer
    x = 30,617.37

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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.