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Finding the Fourth Proportional to 30,605.90, 45,903.55 and 8,414

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Solution

The fourth proportional to 30,605.90, 45,903.55 and 8,414 is: 12,619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,605.90 : 45,903.55 = 8,414 : x
  2. Step 2: Convert to fraction form
    30,605.90/45,903.55 = 8,414/x
  3. Step 3: Cross multiply
    30,605.90x = 45,903.55 × 8,414
  4. Step 4: Simplify right side
    30,605.90x = 386,232,469.70
  5. Step 5: Solve for x
    x = 386,232,469.70/30,605.90
  6. Step 6: Final answer
    x = 12,619.54

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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.