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Finding the Fourth Proportional to 36,466.50, 54,699.75 and 11,842.50

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Solution

The fourth proportional to 36,466.50, 54,699.75 and 11,842.50 is: 17,763.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,466.50 : 54,699.75 = 11,842.50 : x
  2. Step 2: Convert to fraction form
    36,466.50/54,699.75 = 11,842.50/x
  3. Step 3: Cross multiply
    36,466.50x = 54,699.75 × 11,842.50
  4. Step 4: Simplify right side
    36,466.50x = 647,781,789.38
  5. Step 5: Solve for x
    x = 647,781,789.38/36,466.50
  6. Step 6: Final answer
    x = 17,763.75

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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.