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Finding the Fourth Proportional to 30,998.55, 46,471.70 and 13,455.17

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Solution

The fourth proportional to 30,998.55, 46,471.70 and 13,455.17 is: 20,171.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,998.55 : 46,471.70 = 13,455.17 : x
  2. Step 2: Convert to fraction form
    30,998.55/46,471.70 = 13,455.17/x
  3. Step 3: Cross multiply
    30,998.55x = 46,471.70 × 13,455.17
  4. Step 4: Simplify right side
    30,998.55x = 625,284,324.05
  5. Step 5: Solve for x
    x = 625,284,324.05/30,998.55
  6. Step 6: Final answer
    x = 20,171.41

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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.