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Finding the Fourth Proportional to 30,277.43, 45,418.46 and 9,219.27

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Solution

The fourth proportional to 30,277.43, 45,418.46 and 9,219.27 is: 13,829.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,277.43 : 45,418.46 = 9,219.27 : x
  2. Step 2: Convert to fraction form
    30,277.43/45,418.46 = 9,219.27/x
  3. Step 3: Cross multiply
    30,277.43x = 45,418.46 × 9,219.27
  4. Step 4: Simplify right side
    30,277.43x = 418,724,914.47
  5. Step 5: Solve for x
    x = 418,724,914.47/30,277.43
  6. Step 6: Final answer
    x = 13,829.61

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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.