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Finding the Fourth Proportional to 30,954.96, 46,432.44 and 12,474

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Solution

The fourth proportional to 30,954.96, 46,432.44 and 12,474 is: 18,711.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,954.96 : 46,432.44 = 12,474 : x
  2. Step 2: Convert to fraction form
    30,954.96/46,432.44 = 12,474/x
  3. Step 3: Cross multiply
    30,954.96x = 46,432.44 × 12,474
  4. Step 4: Simplify right side
    30,954.96x = 579,198,256.56
  5. Step 5: Solve for x
    x = 579,198,256.56/30,954.96
  6. Step 6: Final answer
    x = 18,711.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.