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Finding the Fourth Proportional to 30,998.33, 46,496.46 and 13,468.16

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Solution

The fourth proportional to 30,998.33, 46,496.46 and 13,468.16 is: 20,201.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,998.33 : 46,496.46 = 13,468.16 : x
  2. Step 2: Convert to fraction form
    30,998.33/46,496.46 = 13,468.16/x
  3. Step 3: Cross multiply
    30,998.33x = 46,496.46 × 13,468.16
  4. Step 4: Simplify right side
    30,998.33x = 626,221,667.92
  5. Step 5: Solve for x
    x = 626,221,667.92/30,998.33
  6. Step 6: Final answer
    x = 20,201.79

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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.