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Finding the Fourth Proportional to 34,076.83, 47,025.69 and 18,969.25

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Solution

The fourth proportional to 34,076.83, 47,025.69 and 18,969.25 is: 26,177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,076.83 : 47,025.69 = 18,969.25 : x
  2. Step 2: Convert to fraction form
    34,076.83/47,025.69 = 18,969.25/x
  3. Step 3: Cross multiply
    34,076.83x = 47,025.69 × 18,969.25
  4. Step 4: Simplify right side
    34,076.83x = 892,042,070.03
  5. Step 5: Solve for x
    x = 892,042,070.03/34,076.83
  6. Step 6: Final answer
    x = 26,177.38

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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.