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Finding the Fourth Proportional to 28,029.19, 42,042.56 and 6,968.78

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Solution

The fourth proportional to 28,029.19, 42,042.56 and 6,968.78 is: 10,452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,029.19 : 42,042.56 = 6,968.78 : x
  2. Step 2: Convert to fraction form
    28,029.19/42,042.56 = 6,968.78/x
  3. Step 3: Cross multiply
    28,029.19x = 42,042.56 × 6,968.78
  4. Step 4: Simplify right side
    28,029.19x = 292,985,351.28
  5. Step 5: Solve for x
    x = 292,985,351.28/28,029.19
  6. Step 6: Final answer
    x = 10,452.87

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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.