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Finding the Fourth Proportional to 75,684.56, 113,530.44 and 28,941.44

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Solution

The fourth proportional to 75,684.56, 113,530.44 and 28,941.44 is: 43,413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,684.56 : 113,530.44 = 28,941.44 : x
  2. Step 2: Convert to fraction form
    75,684.56/113,530.44 = 28,941.44/x
  3. Step 3: Cross multiply
    75,684.56x = 113,530.44 × 28,941.44
  4. Step 4: Simplify right side
    75,684.56x = 3,285,734,417.43
  5. Step 5: Solve for x
    x = 3,285,734,417.43/75,684.56
  6. Step 6: Final answer
    x = 43,413.54

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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.