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Finding the Fourth Proportional to 30,534.73, 45,808.67 and 9,474.32

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Solution

The fourth proportional to 30,534.73, 45,808.67 and 9,474.32 is: 14,213.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,534.73 : 45,808.67 = 9,474.32 : x
  2. Step 2: Convert to fraction form
    30,534.73/45,808.67 = 9,474.32/x
  3. Step 3: Cross multiply
    30,534.73x = 45,808.67 × 9,474.32
  4. Step 4: Simplify right side
    30,534.73x = 434,006,136.56
  5. Step 5: Solve for x
    x = 434,006,136.56/30,534.73
  6. Step 6: Final answer
    x = 14,213.53

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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.