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Finding the Fourth Proportional to 30,539.43, 45,816.30 and 9,478.44

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Solution

The fourth proportional to 30,539.43, 45,816.30 and 9,478.44 is: 14,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,539.43 : 45,816.30 = 9,478.44 : x
  2. Step 2: Convert to fraction form
    30,539.43/45,816.30 = 9,478.44/x
  3. Step 3: Cross multiply
    30,539.43x = 45,816.30 × 9,478.44
  4. Step 4: Simplify right side
    30,539.43x = 434,267,050.57
  5. Step 5: Solve for x
    x = 434,267,050.57/30,539.43
  6. Step 6: Final answer
    x = 14,219.88

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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.