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Finding the Fourth Proportional to 30,198.34, 45,300.08 and 9,138.56

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Solution

The fourth proportional to 30,198.34, 45,300.08 and 9,138.56 is: 13,708.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,198.34 : 45,300.08 = 9,138.56 : x
  2. Step 2: Convert to fraction form
    30,198.34/45,300.08 = 9,138.56/x
  3. Step 3: Cross multiply
    30,198.34x = 45,300.08 × 9,138.56
  4. Step 4: Simplify right side
    30,198.34x = 413,977,499.08
  5. Step 5: Solve for x
    x = 413,977,499.08/30,198.34
  6. Step 6: Final answer
    x = 13,708.62

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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.