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Finding the Fourth Proportional to 57,680.87, 86,534.77 and 19,730.44

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Solution

The fourth proportional to 57,680.87, 86,534.77 and 19,730.44 is: 29,600.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,680.87 : 86,534.77 = 19,730.44 : x
  2. Step 2: Convert to fraction form
    57,680.87/86,534.77 = 19,730.44/x
  3. Step 3: Cross multiply
    57,680.87x = 86,534.77 × 19,730.44
  4. Step 4: Simplify right side
    57,680.87x = 1,707,369,087.40
  5. Step 5: Solve for x
    x = 1,707,369,087.40/57,680.87
  6. Step 6: Final answer
    x = 29,600.27

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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.