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Finding the Fourth Proportional to 38,597.22, 53,247.25 and 22,674.49

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Solution

The fourth proportional to 38,597.22, 53,247.25 and 22,674.49 is: 31,280.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,597.22 : 53,247.25 = 22,674.49 : x
  2. Step 2: Convert to fraction form
    38,597.22/53,247.25 = 22,674.49/x
  3. Step 3: Cross multiply
    38,597.22x = 53,247.25 × 22,674.49
  4. Step 4: Simplify right side
    38,597.22x = 1,207,354,237.65
  5. Step 5: Solve for x
    x = 1,207,354,237.65/38,597.22
  6. Step 6: Final answer
    x = 31,280.86

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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.