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Finding the Fourth Proportional to 76,556.68, 114,868.38 and 29,793.32

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Solution

The fourth proportional to 76,556.68, 114,868.38 and 29,793.32 is: 44,702.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,556.68 : 114,868.38 = 29,793.32 : x
  2. Step 2: Convert to fraction form
    76,556.68/114,868.38 = 29,793.32/x
  3. Step 3: Cross multiply
    76,556.68x = 114,868.38 × 29,793.32
  4. Step 4: Simplify right side
    76,556.68x = 3,422,310,403.22
  5. Step 5: Solve for x
    x = 3,422,310,403.22/76,556.68
  6. Step 6: Final answer
    x = 44,702.96

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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.