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Finding the Fourth Proportional to 24,538.10, 36,752.48 and 20,164.10

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Solution

The fourth proportional to 24,538.10, 36,752.48 and 20,164.10 is: 30,201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538.10 : 36,752.48 = 20,164.10 : x
  2. Step 2: Convert to fraction form
    24,538.10/36,752.48 = 20,164.10/x
  3. Step 3: Cross multiply
    24,538.10x = 36,752.48 × 20,164.10
  4. Step 4: Simplify right side
    24,538.10x = 741,080,581.15
  5. Step 5: Solve for x
    x = 741,080,581.15/24,538.10
  6. Step 6: Final answer
    x = 30,201.22

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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.