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Finding the Fourth Proportional to 57,181.32, 85,750.92 and 19,731.84

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Solution

The fourth proportional to 57,181.32, 85,750.92 and 19,731.84 is: 29,590.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,181.32 : 85,750.92 = 19,731.84 : x
  2. Step 2: Convert to fraction form
    57,181.32/85,750.92 = 19,731.84/x
  3. Step 3: Cross multiply
    57,181.32x = 85,750.92 × 19,731.84
  4. Step 4: Simplify right side
    57,181.32x = 1,692,023,433.29
  5. Step 5: Solve for x
    x = 1,692,023,433.29/57,181.32
  6. Step 6: Final answer
    x = 29,590.49

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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.