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Finding the Fourth Proportional to 57,680.40, 86,455.80 and 29,589.60

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Solution

The fourth proportional to 57,680.40, 86,455.80 and 29,589.60 is: 44,351.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,680.40 : 86,455.80 = 29,589.60 : x
  2. Step 2: Convert to fraction form
    57,680.40/86,455.80 = 29,589.60/x
  3. Step 3: Cross multiply
    57,680.40x = 86,455.80 × 29,589.60
  4. Step 4: Simplify right side
    57,680.40x = 2,558,192,539.68
  5. Step 5: Solve for x
    x = 2,558,192,539.68/57,680.40
  6. Step 6: Final answer
    x = 44,351.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.