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Finding the Fourth Proportional to 30,788.83, 46,183.26 and 7,415.26

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Solution

The fourth proportional to 30,788.83, 46,183.26 and 7,415.26 is: 11,122.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,788.83 : 46,183.26 = 7,415.26 : x
  2. Step 2: Convert to fraction form
    30,788.83/46,183.26 = 7,415.26/x
  3. Step 3: Cross multiply
    30,788.83x = 46,183.26 × 7,415.26
  4. Step 4: Simplify right side
    30,788.83x = 342,460,880.55
  5. Step 5: Solve for x
    x = 342,460,880.55/30,788.83
  6. Step 6: Final answer
    x = 11,122.89

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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.