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Finding the Fourth Proportional to 57,676.80, 86,585.40 and 32,734.20

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Solution

The fourth proportional to 57,676.80, 86,585.40 and 32,734.20 is: 49,141.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,676.80 : 86,585.40 = 32,734.20 : x
  2. Step 2: Convert to fraction form
    57,676.80/86,585.40 = 32,734.20/x
  3. Step 3: Cross multiply
    57,676.80x = 86,585.40 × 32,734.20
  4. Step 4: Simplify right side
    57,676.80x = 2,834,303,800.68
  5. Step 5: Solve for x
    x = 2,834,303,800.68/57,676.80
  6. Step 6: Final answer
    x = 49,141.14

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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.