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Finding the Fourth Proportional to 41,290.42, 56,980.52 and 22,427.38

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Solution

The fourth proportional to 41,290.42, 56,980.52 and 22,427.38 is: 30,949.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,290.42 : 56,980.52 = 22,427.38 : x
  2. Step 2: Convert to fraction form
    41,290.42/56,980.52 = 22,427.38/x
  3. Step 3: Cross multiply
    41,290.42x = 56,980.52 × 22,427.38
  4. Step 4: Simplify right side
    41,290.42x = 1,277,923,774.64
  5. Step 5: Solve for x
    x = 1,277,923,774.64/41,290.42
  6. Step 6: Final answer
    x = 30,949.64

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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.