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Finding the Fourth Proportional to 57,028, 85,577.64 and 27,448.96

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Solution

The fourth proportional to 57,028, 85,577.64 and 27,448.96 is: 41,190.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,028 : 85,577.64 = 27,448.96 : x
  2. Step 2: Convert to fraction form
    57,028/85,577.64 = 27,448.96/x
  3. Step 3: Cross multiply
    57,028x = 85,577.64 × 27,448.96
  4. Step 4: Simplify right side
    57,028x = 2,349,017,217.25
  5. Step 5: Solve for x
    x = 2,349,017,217.25/57,028
  6. Step 6: Final answer
    x = 41,190.59

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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.