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Finding the Fourth Proportional to 27,830.48, 41,749.62 and 8,110.48

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Solution

The fourth proportional to 27,830.48, 41,749.62 and 8,110.48 is: 12,166.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,830.48 : 41,749.62 = 8,110.48 : x
  2. Step 2: Convert to fraction form
    27,830.48/41,749.62 = 8,110.48/x
  3. Step 3: Cross multiply
    27,830.48x = 41,749.62 × 8,110.48
  4. Step 4: Simplify right side
    27,830.48x = 338,609,458.02
  5. Step 5: Solve for x
    x = 338,609,458.02/27,830.48
  6. Step 6: Final answer
    x = 12,166.86

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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.