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Finding the Fourth Proportional to 57,596.42, 86,362.10 and 23,843.36

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Solution

The fourth proportional to 57,596.42, 86,362.10 and 23,843.36 is: 35,751.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,596.42 : 86,362.10 = 23,843.36 : x
  2. Step 2: Convert to fraction form
    57,596.42/86,362.10 = 23,843.36/x
  3. Step 3: Cross multiply
    57,596.42x = 86,362.10 × 23,843.36
  4. Step 4: Simplify right side
    57,596.42x = 2,059,162,826.76
  5. Step 5: Solve for x
    x = 2,059,162,826.76/57,596.42
  6. Step 6: Final answer
    x = 35,751.58

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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.