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Finding the Fourth Proportional to 30,532.68, 45,796.83 and 9,472.18

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Solution

The fourth proportional to 30,532.68, 45,796.83 and 9,472.18 is: 14,207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,532.68 : 45,796.83 = 9,472.18 : x
  2. Step 2: Convert to fraction form
    30,532.68/45,796.83 = 9,472.18/x
  3. Step 3: Cross multiply
    30,532.68x = 45,796.83 × 9,472.18
  4. Step 4: Simplify right side
    30,532.68x = 433,795,817.19
  5. Step 5: Solve for x
    x = 433,795,817.19/30,532.68
  6. Step 6: Final answer
    x = 14,207.59

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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.