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Finding the Fourth Proportional to 57,171, 85,741.01 and 23,884.10

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Solution

The fourth proportional to 57,171, 85,741.01 and 23,884.10 is: 35,819.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,171 : 85,741.01 = 23,884.10 : x
  2. Step 2: Convert to fraction form
    57,171/85,741.01 = 23,884.10/x
  3. Step 3: Cross multiply
    57,171x = 85,741.01 × 23,884.10
  4. Step 4: Simplify right side
    57,171x = 2,047,846,856.94
  5. Step 5: Solve for x
    x = 2,047,846,856.94/57,171
  6. Step 6: Final answer
    x = 35,819.68

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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.