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Finding the Fourth Proportional to 47,967.78, 71,951.22 and 26,907.78

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Solution

The fourth proportional to 47,967.78, 71,951.22 and 26,907.78 is: 40,361.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,967.78 : 71,951.22 = 26,907.78 : x
  2. Step 2: Convert to fraction form
    47,967.78/71,951.22 = 26,907.78/x
  3. Step 3: Cross multiply
    47,967.78x = 71,951.22 × 26,907.78
  4. Step 4: Simplify right side
    47,967.78x = 1,936,047,598.49
  5. Step 5: Solve for x
    x = 1,936,047,598.49/47,967.78
  6. Step 6: Final answer
    x = 40,361.42

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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.