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Finding the Fourth Proportional to 30,855.83, 46,300.48 and 13,096.47

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Solution

The fourth proportional to 30,855.83, 46,300.48 and 13,096.47 is: 19,651.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,855.83 : 46,300.48 = 13,096.47 : x
  2. Step 2: Convert to fraction form
    30,855.83/46,300.48 = 13,096.47/x
  3. Step 3: Cross multiply
    30,855.83x = 46,300.48 × 13,096.47
  4. Step 4: Simplify right side
    30,855.83x = 606,372,814.56
  5. Step 5: Solve for x
    x = 606,372,814.56/30,855.83
  6. Step 6: Final answer
    x = 19,651.81

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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.