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Finding the Fourth Proportional to 36,130.19, 54,181.80 and 12,431.09

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Solution

The fourth proportional to 36,130.19, 54,181.80 and 12,431.09 is: 18,642.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,130.19 : 54,181.80 = 12,431.09 : x
  2. Step 2: Convert to fraction form
    36,130.19/54,181.80 = 12,431.09/x
  3. Step 3: Cross multiply
    36,130.19x = 54,181.80 × 12,431.09
  4. Step 4: Simplify right side
    36,130.19x = 673,538,967.62
  5. Step 5: Solve for x
    x = 673,538,967.62/36,130.19
  6. Step 6: Final answer
    x = 18,642.00

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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.