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Finding the Fourth Proportional to 30,782.58, 46,183.59 and 13,260.66

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Solution

The fourth proportional to 30,782.58, 46,183.59 and 13,260.66 is: 19,895.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782.58 : 46,183.59 = 13,260.66 : x
  2. Step 2: Convert to fraction form
    30,782.58/46,183.59 = 13,260.66/x
  3. Step 3: Cross multiply
    30,782.58x = 46,183.59 × 13,260.66
  4. Step 4: Simplify right side
    30,782.58x = 612,424,884.57
  5. Step 5: Solve for x
    x = 612,424,884.57/30,782.58
  6. Step 6: Final answer
    x = 19,895.18

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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.