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Finding the Fourth Proportional to 36,017.39, 49,690.13 and 22,565.24

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Solution

The fourth proportional to 36,017.39, 49,690.13 and 22,565.24 is: 31,131.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,017.39 : 49,690.13 = 22,565.24 : x
  2. Step 2: Convert to fraction form
    36,017.39/49,690.13 = 22,565.24/x
  3. Step 3: Cross multiply
    36,017.39x = 49,690.13 × 22,565.24
  4. Step 4: Simplify right side
    36,017.39x = 1,121,269,596.26
  5. Step 5: Solve for x
    x = 1,121,269,596.26/36,017.39
  6. Step 6: Final answer
    x = 31,131.34

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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.