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Finding the Fourth Proportional to 28,028.81, 42,042 and 6,968.41

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Solution

The fourth proportional to 28,028.81, 42,042 and 6,968.41 is: 10,452.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,028.81 : 42,042 = 6,968.41 : x
  2. Step 2: Convert to fraction form
    28,028.81/42,042 = 6,968.41/x
  3. Step 3: Cross multiply
    28,028.81x = 42,042 × 6,968.41
  4. Step 4: Simplify right side
    28,028.81x = 292,965,893.22
  5. Step 5: Solve for x
    x = 292,965,893.22/28,028.81
  6. Step 6: Final answer
    x = 10,452.31

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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.