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Finding the Fourth Proportional to 30,414.63, 45,634.59 and 12,649.18

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Solution

The fourth proportional to 30,414.63, 45,634.59 and 12,649.18 is: 18,979.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,414.63 : 45,634.59 = 12,649.18 : x
  2. Step 2: Convert to fraction form
    30,414.63/45,634.59 = 12,649.18/x
  3. Step 3: Cross multiply
    30,414.63x = 45,634.59 × 12,649.18
  4. Step 4: Simplify right side
    30,414.63x = 577,240,143.14
  5. Step 5: Solve for x
    x = 577,240,143.14/30,414.63
  6. Step 6: Final answer
    x = 18,979.03

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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.