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Finding the Fourth Proportional to 30,990.24, 46,459.24 and 13,446.88

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Solution

The fourth proportional to 30,990.24, 46,459.24 and 13,446.88 is: 20,158.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,990.24 : 46,459.24 = 13,446.88 : x
  2. Step 2: Convert to fraction form
    30,990.24/46,459.24 = 13,446.88/x
  3. Step 3: Cross multiply
    30,990.24x = 46,459.24 × 13,446.88
  4. Step 4: Simplify right side
    30,990.24x = 624,731,825.17
  5. Step 5: Solve for x
    x = 624,731,825.17/30,990.24
  6. Step 6: Final answer
    x = 20,158.99

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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.