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Finding the Fourth Proportional to 30,283.94, 45,431.22 and 12,514.52

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Solution

The fourth proportional to 30,283.94, 45,431.22 and 12,514.52 is: 18,773.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,283.94 : 45,431.22 = 12,514.52 : x
  2. Step 2: Convert to fraction form
    30,283.94/45,431.22 = 12,514.52/x
  3. Step 3: Cross multiply
    30,283.94x = 45,431.22 × 12,514.52
  4. Step 4: Simplify right side
    30,283.94x = 568,549,911.31
  5. Step 5: Solve for x
    x = 568,549,911.31/30,283.94
  6. Step 6: Final answer
    x = 18,773.97

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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.