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Finding the Fourth Proportional to 112,977.54, 169,467.48 and 34,092.42

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Solution

The fourth proportional to 112,977.54, 169,467.48 and 34,092.42 is: 51,138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,977.54 : 169,467.48 = 34,092.42 : x
  2. Step 2: Convert to fraction form
    112,977.54/169,467.48 = 34,092.42/x
  3. Step 3: Cross multiply
    112,977.54x = 169,467.48 × 34,092.42
  4. Step 4: Simplify right side
    112,977.54x = 5,777,556,504.50
  5. Step 5: Solve for x
    x = 5,777,556,504.50/112,977.54
  6. Step 6: Final answer
    x = 51,138.98

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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.