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Finding the Fourth Proportional to 101,682.56, 152,524.26 and 56,731.64

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Solution

The fourth proportional to 101,682.56, 152,524.26 and 56,731.64 is: 85,097.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,682.56 : 152,524.26 = 56,731.64 : x
  2. Step 2: Convert to fraction form
    101,682.56/152,524.26 = 56,731.64/x
  3. Step 3: Cross multiply
    101,682.56x = 152,524.26 × 56,731.64
  4. Step 4: Simplify right side
    101,682.56x = 8,652,951,409.59
  5. Step 5: Solve for x
    x = 8,652,951,409.59/101,682.56
  6. Step 6: Final answer
    x = 85,097.69

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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.