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Finding the Fourth Proportional to 57,235.76, 85,852 and 15,682.76

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Solution

The fourth proportional to 57,235.76, 85,852 and 15,682.76 is: 23,523.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,235.76 : 85,852 = 15,682.76 : x
  2. Step 2: Convert to fraction form
    57,235.76/85,852 = 15,682.76/x
  3. Step 3: Cross multiply
    57,235.76x = 85,852 × 15,682.76
  4. Step 4: Simplify right side
    57,235.76x = 1,346,396,311.52
  5. Step 5: Solve for x
    x = 1,346,396,311.52/57,235.76
  6. Step 6: Final answer
    x = 23,523.69

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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.