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Finding the Fourth Proportional to 30,992.55, 46,462.70 and 13,449.17

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Solution

The fourth proportional to 30,992.55, 46,462.70 and 13,449.17 is: 20,162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992.55 : 46,462.70 = 13,449.17 : x
  2. Step 2: Convert to fraction form
    30,992.55/46,462.70 = 13,449.17/x
  3. Step 3: Cross multiply
    30,992.55x = 46,462.70 × 13,449.17
  4. Step 4: Simplify right side
    30,992.55x = 624,884,552.27
  5. Step 5: Solve for x
    x = 624,884,552.27/30,992.55
  6. Step 6: Final answer
    x = 20,162.41

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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.