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Finding the Fourth Proportional to 102,682.56, 154,029.34 and 32,567.34

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Solution

The fourth proportional to 102,682.56, 154,029.34 and 32,567.34 is: 48,852.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,682.56 : 154,029.34 = 32,567.34 : x
  2. Step 2: Convert to fraction form
    102,682.56/154,029.34 = 32,567.34/x
  3. Step 3: Cross multiply
    102,682.56x = 154,029.34 × 32,567.34
  4. Step 4: Simplify right side
    102,682.56x = 5,016,325,885.76
  5. Step 5: Solve for x
    x = 5,016,325,885.76/102,682.56
  6. Step 6: Final answer
    x = 48,852.75

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