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Finding the Fourth Proportional to 36,509.10, 50,382.56 and 19,742.10

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Solution

The fourth proportional to 36,509.10, 50,382.56 and 19,742.10 is: 27,244.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,509.10 : 50,382.56 = 19,742.10 : x
  2. Step 2: Convert to fraction form
    36,509.10/50,382.56 = 19,742.10/x
  3. Step 3: Cross multiply
    36,509.10x = 50,382.56 × 19,742.10
  4. Step 4: Simplify right side
    36,509.10x = 994,657,537.78
  5. Step 5: Solve for x
    x = 994,657,537.78/36,509.10
  6. Step 6: Final answer
    x = 27,244.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.