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Finding the Fourth Proportional to 28,048.50, 42,072.42 and 8,058.48

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Solution

The fourth proportional to 28,048.50, 42,072.42 and 8,058.48 is: 12,087.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,048.50 : 42,072.42 = 8,058.48 : x
  2. Step 2: Convert to fraction form
    28,048.50/42,072.42 = 8,058.48/x
  3. Step 3: Cross multiply
    28,048.50x = 42,072.42 × 8,058.48
  4. Step 4: Simplify right side
    28,048.50x = 339,039,755.12
  5. Step 5: Solve for x
    x = 339,039,755.12/28,048.50
  6. Step 6: Final answer
    x = 12,087.63

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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.