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Finding the Fourth Proportional to 36,002.32, 53,826 and 30,517

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Solution

The fourth proportional to 36,002.32, 53,826 and 30,517 is: 45,625.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,002.32 : 53,826 = 30,517 : x
  2. Step 2: Convert to fraction form
    36,002.32/53,826 = 30,517/x
  3. Step 3: Cross multiply
    36,002.32x = 53,826 × 30,517
  4. Step 4: Simplify right side
    36,002.32x = 1,642,608,042
  5. Step 5: Solve for x
    x = 1,642,608,042/36,002.32
  6. Step 6: Final answer
    x = 45,625.06

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Why These Related Problems?

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