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Finding the Fourth Proportional to 30,829.87, 46,216.50 and 11,103.64

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Solution

The fourth proportional to 30,829.87, 46,216.50 and 11,103.64 is: 16,645.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,829.87 : 46,216.50 = 11,103.64 : x
  2. Step 2: Convert to fraction form
    30,829.87/46,216.50 = 11,103.64/x
  3. Step 3: Cross multiply
    30,829.87x = 46,216.50 × 11,103.64
  4. Step 4: Simplify right side
    30,829.87x = 513,171,378.06
  5. Step 5: Solve for x
    x = 513,171,378.06/30,829.87
  6. Step 6: Final answer
    x = 16,645.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.