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Finding the Fourth Proportional to 30,773.24, 46,159.84 and 7,399.68

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Solution

The fourth proportional to 30,773.24, 46,159.84 and 7,399.68 is: 11,099.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,773.24 : 46,159.84 = 7,399.68 : x
  2. Step 2: Convert to fraction form
    30,773.24/46,159.84 = 7,399.68/x
  3. Step 3: Cross multiply
    30,773.24x = 46,159.84 × 7,399.68
  4. Step 4: Simplify right side
    30,773.24x = 341,568,044.85
  5. Step 5: Solve for x
    x = 341,568,044.85/30,773.24
  6. Step 6: Final answer
    x = 11,099.52

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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.