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Finding the Fourth Proportional to 34,855.86, 48,101.14 and 19,749.54

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Solution

The fourth proportional to 34,855.86, 48,101.14 and 19,749.54 is: 27,254.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,855.86 : 48,101.14 = 19,749.54 : x
  2. Step 2: Convert to fraction form
    34,855.86/48,101.14 = 19,749.54/x
  3. Step 3: Cross multiply
    34,855.86x = 48,101.14 × 19,749.54
  4. Step 4: Simplify right side
    34,855.86x = 949,975,289.73
  5. Step 5: Solve for x
    x = 949,975,289.73/34,855.86
  6. Step 6: Final answer
    x = 27,254.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.