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Finding the Fourth Proportional to 52,096.99, 71,893.39 and 28,223.60

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Solution

The fourth proportional to 52,096.99, 71,893.39 and 28,223.60 is: 38,948.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,096.99 : 71,893.39 = 28,223.60 : x
  2. Step 2: Convert to fraction form
    52,096.99/71,893.39 = 28,223.60/x
  3. Step 3: Cross multiply
    52,096.99x = 71,893.39 × 28,223.60
  4. Step 4: Simplify right side
    52,096.99x = 2,029,090,501.11
  5. Step 5: Solve for x
    x = 2,029,090,501.11/52,096.99
  6. Step 6: Final answer
    x = 38,948.33

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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.