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Finding the Fourth Proportional to 30,644.16, 45,957.84 and 8,452.32

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Solution

The fourth proportional to 30,644.16, 45,957.84 and 8,452.32 is: 12,676.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,644.16 : 45,957.84 = 8,452.32 : x
  2. Step 2: Convert to fraction form
    30,644.16/45,957.84 = 8,452.32/x
  3. Step 3: Cross multiply
    30,644.16x = 45,957.84 × 8,452.32
  4. Step 4: Simplify right side
    30,644.16x = 388,450,370.19
  5. Step 5: Solve for x
    x = 388,450,370.19/30,644.16
  6. Step 6: Final answer
    x = 12,676.16

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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.