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Finding the Fourth Proportional to 57,563.46, 86,357.52 and 32,615.46

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Solution

The fourth proportional to 57,563.46, 86,357.52 and 32,615.46 is: 48,930.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,563.46 : 86,357.52 = 32,615.46 : x
  2. Step 2: Convert to fraction form
    57,563.46/86,357.52 = 32,615.46/x
  3. Step 3: Cross multiply
    57,563.46x = 86,357.52 × 32,615.46
  4. Step 4: Simplify right side
    57,563.46x = 2,816,590,239.26
  5. Step 5: Solve for x
    x = 2,816,590,239.26/57,563.46
  6. Step 6: Final answer
    x = 48,930.18

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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.