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Finding the Fourth Proportional to 102,442.44, 153,663.12 and 27,556.49

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Solution

The fourth proportional to 102,442.44, 153,663.12 and 27,556.49 is: 41,334.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,442.44 : 153,663.12 = 27,556.49 : x
  2. Step 2: Convert to fraction form
    102,442.44/153,663.12 = 27,556.49/x
  3. Step 3: Cross multiply
    102,442.44x = 153,663.12 × 27,556.49
  4. Step 4: Simplify right side
    102,442.44x = 4,234,416,229.65
  5. Step 5: Solve for x
    x = 4,234,416,229.65/102,442.44
  6. Step 6: Final answer
    x = 41,334.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.