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Finding the Fourth Proportional to 36,642.88, 54,876.24 and 34,805.44

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Solution

The fourth proportional to 36,642.88, 54,876.24 and 34,805.44 is: 52,124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,642.88 : 54,876.24 = 34,805.44 : x
  2. Step 2: Convert to fraction form
    36,642.88/54,876.24 = 34,805.44/x
  3. Step 3: Cross multiply
    36,642.88x = 54,876.24 × 34,805.44
  4. Step 4: Simplify right side
    36,642.88x = 1,909,991,678.75
  5. Step 5: Solve for x
    x = 1,909,991,678.75/36,642.88
  6. Step 6: Final answer
    x = 52,124.50

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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.