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Finding the Fourth Proportional to 34,766.88, 47,978.09 and 18,850.98

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Solution

The fourth proportional to 34,766.88, 47,978.09 and 18,850.98 is: 26,014.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,766.88 : 47,978.09 = 18,850.98 : x
  2. Step 2: Convert to fraction form
    34,766.88/47,978.09 = 18,850.98/x
  3. Step 3: Cross multiply
    34,766.88x = 47,978.09 × 18,850.98
  4. Step 4: Simplify right side
    34,766.88x = 904,434,171.38
  5. Step 5: Solve for x
    x = 904,434,171.38/34,766.88
  6. Step 6: Final answer
    x = 26,014.25

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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.