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Finding the Fourth Proportional to 57,135.96, 85,671.12 and 30,449.09

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Solution

The fourth proportional to 57,135.96, 85,671.12 and 30,449.09 is: 45,656.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,135.96 : 85,671.12 = 30,449.09 : x
  2. Step 2: Convert to fraction form
    57,135.96/85,671.12 = 30,449.09/x
  3. Step 3: Cross multiply
    57,135.96x = 85,671.12 × 30,449.09
  4. Step 4: Simplify right side
    57,135.96x = 2,608,607,214.93
  5. Step 5: Solve for x
    x = 2,608,607,214.93/57,135.96
  6. Step 6: Final answer
    x = 45,656.14

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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.