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Finding the Fourth Proportional to 30,364.40, 45,541.43 and 8,172.83

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Solution

The fourth proportional to 30,364.40, 45,541.43 and 8,172.83 is: 12,257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,364.40 : 45,541.43 = 8,172.83 : x
  2. Step 2: Convert to fraction form
    30,364.40/45,541.43 = 8,172.83/x
  3. Step 3: Cross multiply
    30,364.40x = 45,541.43 × 8,172.83
  4. Step 4: Simplify right side
    30,364.40x = 372,202,365.35
  5. Step 5: Solve for x
    x = 372,202,365.35/30,364.40
  6. Step 6: Final answer
    x = 12,257.85

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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.