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Finding the Fourth Proportional to 30,601.71, 45,901.35 and 8,414.49

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Solution

The fourth proportional to 30,601.71, 45,901.35 and 8,414.49 is: 12,621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,601.71 : 45,901.35 = 8,414.49 : x
  2. Step 2: Convert to fraction form
    30,601.71/45,901.35 = 8,414.49/x
  3. Step 3: Cross multiply
    30,601.71x = 45,901.35 × 8,414.49
  4. Step 4: Simplify right side
    30,601.71x = 386,236,450.56
  5. Step 5: Solve for x
    x = 386,236,450.56/30,601.71
  6. Step 6: Final answer
    x = 12,621.40

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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.