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Finding the Fourth Proportional to 30,631.36, 45,948.24 and 8,446.48

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Solution

The fourth proportional to 30,631.36, 45,948.24 and 8,446.48 is: 12,670.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,631.36 : 45,948.24 = 8,446.48 : x
  2. Step 2: Convert to fraction form
    30,631.36/45,948.24 = 8,446.48/x
  3. Step 3: Cross multiply
    30,631.36x = 45,948.24 × 8,446.48
  4. Step 4: Simplify right side
    30,631.36x = 388,100,890.20
  5. Step 5: Solve for x
    x = 388,100,890.20/30,631.36
  6. Step 6: Final answer
    x = 12,670.05

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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.