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Finding the Fourth Proportional to 50,658.26, 75,946.39 and 21,098.30

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Solution

The fourth proportional to 50,658.26, 75,946.39 and 21,098.30 is: 31,630.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,658.26 : 75,946.39 = 21,098.30 : x
  2. Step 2: Convert to fraction form
    50,658.26/75,946.39 = 21,098.30/x
  3. Step 3: Cross multiply
    50,658.26x = 75,946.39 × 21,098.30
  4. Step 4: Simplify right side
    50,658.26x = 1,602,339,287.66
  5. Step 5: Solve for x
    x = 1,602,339,287.66/50,658.26
  6. Step 6: Final answer
    x = 31,630.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.