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Finding the Fourth Proportional to 30,198.78, 45,298.14 and 11,730.78

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Solution

The fourth proportional to 30,198.78, 45,298.14 and 11,730.78 is: 17,596.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,198.78 : 45,298.14 = 11,730.78 : x
  2. Step 2: Convert to fraction form
    30,198.78/45,298.14 = 11,730.78/x
  3. Step 3: Cross multiply
    30,198.78x = 45,298.14 × 11,730.78
  4. Step 4: Simplify right side
    30,198.78x = 531,382,514.75
  5. Step 5: Solve for x
    x = 531,382,514.75/30,198.78
  6. Step 6: Final answer
    x = 17,596.16

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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.