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Finding the Fourth Proportional to 27,235.50, 40,853.25 and 7,515.60

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Solution

The fourth proportional to 27,235.50, 40,853.25 and 7,515.60 is: 11,273.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,235.50 : 40,853.25 = 7,515.60 : x
  2. Step 2: Convert to fraction form
    27,235.50/40,853.25 = 7,515.60/x
  3. Step 3: Cross multiply
    27,235.50x = 40,853.25 × 7,515.60
  4. Step 4: Simplify right side
    27,235.50x = 307,036,481.43
  5. Step 5: Solve for x
    x = 307,036,481.43/27,235.50
  6. Step 6: Final answer
    x = 11,273.39

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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.