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Finding the Fourth Proportional to 36,042.45, 54,083.04 and 14,997

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Solution

The fourth proportional to 36,042.45, 54,083.04 and 14,997 is: 22,503.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,042.45 : 54,083.04 = 14,997 : x
  2. Step 2: Convert to fraction form
    36,042.45/54,083.04 = 14,997/x
  3. Step 3: Cross multiply
    36,042.45x = 54,083.04 × 14,997
  4. Step 4: Simplify right side
    36,042.45x = 811,083,350.88
  5. Step 5: Solve for x
    x = 811,083,350.88/36,042.45
  6. Step 6: Final answer
    x = 22,503.56

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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.