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Finding the Fourth Proportional to 30,436.28, 45,652.02 and 9,659.96

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Solution

The fourth proportional to 30,436.28, 45,652.02 and 9,659.96 is: 14,489.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,436.28 : 45,652.02 = 9,659.96 : x
  2. Step 2: Convert to fraction form
    30,436.28/45,652.02 = 9,659.96/x
  3. Step 3: Cross multiply
    30,436.28x = 45,652.02 × 9,659.96
  4. Step 4: Simplify right side
    30,436.28x = 440,996,687.12
  5. Step 5: Solve for x
    x = 440,996,687.12/30,436.28
  6. Step 6: Final answer
    x = 14,489.18

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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.