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Finding the Fourth Proportional to 36,406.24, 50,242.62 and 22,255

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Solution

The fourth proportional to 36,406.24, 50,242.62 and 22,255 is: 30,713.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,406.24 : 50,242.62 = 22,255 : x
  2. Step 2: Convert to fraction form
    36,406.24/50,242.62 = 22,255/x
  3. Step 3: Cross multiply
    36,406.24x = 50,242.62 × 22,255
  4. Step 4: Simplify right side
    36,406.24x = 1,118,149,508.10
  5. Step 5: Solve for x
    x = 1,118,149,508.10/36,406.24
  6. Step 6: Final answer
    x = 30,713.13

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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.