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Finding the Fourth Proportional to 50,683.50, 76,059.81 and 17,851.50

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Solution

The fourth proportional to 50,683.50, 76,059.81 and 17,851.50 is: 26,789.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,683.50 : 76,059.81 = 17,851.50 : x
  2. Step 2: Convert to fraction form
    50,683.50/76,059.81 = 17,851.50/x
  3. Step 3: Cross multiply
    50,683.50x = 76,059.81 × 17,851.50
  4. Step 4: Simplify right side
    50,683.50x = 1,357,781,698.22
  5. Step 5: Solve for x
    x = 1,357,781,698.22/50,683.50
  6. Step 6: Final answer
    x = 26,789.42

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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.