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Finding the Fourth Proportional to 28,042.28, 42,063.05 and 6,982.48

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Solution

The fourth proportional to 28,042.28, 42,063.05 and 6,982.48 is: 10,473.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,042.28 : 42,063.05 = 6,982.48 : x
  2. Step 2: Convert to fraction form
    28,042.28/42,063.05 = 6,982.48/x
  3. Step 3: Cross multiply
    28,042.28x = 42,063.05 × 6,982.48
  4. Step 4: Simplify right side
    28,042.28x = 293,704,317.82
  5. Step 5: Solve for x
    x = 293,704,317.82/28,042.28
  6. Step 6: Final answer
    x = 10,473.63

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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.