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Finding the Fourth Proportional to 36,189.83, 49,966.38 and 22,598.64

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Solution

The fourth proportional to 36,189.83, 49,966.38 and 22,598.64 is: 31,201.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,189.83 : 49,966.38 = 22,598.64 : x
  2. Step 2: Convert to fraction form
    36,189.83/49,966.38 = 22,598.64/x
  3. Step 3: Cross multiply
    36,189.83x = 49,966.38 × 22,598.64
  4. Step 4: Simplify right side
    36,189.83x = 1,129,172,233.72
  5. Step 5: Solve for x
    x = 1,129,172,233.72/36,189.83
  6. Step 6: Final answer
    x = 31,201.37

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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.