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Finding the Fourth Proportional to 30,338.57, 45,478.46 and 11,604.18

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Solution

The fourth proportional to 30,338.57, 45,478.46 and 11,604.18 is: 17,395.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,338.57 : 45,478.46 = 11,604.18 : x
  2. Step 2: Convert to fraction form
    30,338.57/45,478.46 = 11,604.18/x
  3. Step 3: Cross multiply
    30,338.57x = 45,478.46 × 11,604.18
  4. Step 4: Simplify right side
    30,338.57x = 527,740,177.94
  5. Step 5: Solve for x
    x = 527,740,177.94/30,338.57
  6. Step 6: Final answer
    x = 17,395.03

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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.