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Finding the Fourth Proportional to 36,189.65, 54,271.14 and 12,491.16

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Solution

The fourth proportional to 36,189.65, 54,271.14 and 12,491.16 is: 18,732.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,189.65 : 54,271.14 = 12,491.16 : x
  2. Step 2: Convert to fraction form
    36,189.65/54,271.14 = 12,491.16/x
  3. Step 3: Cross multiply
    36,189.65x = 54,271.14 × 12,491.16
  4. Step 4: Simplify right side
    36,189.65x = 677,909,493.12
  5. Step 5: Solve for x
    x = 677,909,493.12/36,189.65
  6. Step 6: Final answer
    x = 18,732.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.