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Finding the Fourth Proportional to 57,057.01, 78,732.57 and 31,559.32

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Solution

The fourth proportional to 57,057.01, 78,732.57 and 31,559.32 is: 43,548.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,057.01 : 78,732.57 = 31,559.32 : x
  2. Step 2: Convert to fraction form
    57,057.01/78,732.57 = 31,559.32/x
  3. Step 3: Cross multiply
    57,057.01x = 78,732.57 × 31,559.32
  4. Step 4: Simplify right side
    57,057.01x = 2,484,745,977.39
  5. Step 5: Solve for x
    x = 2,484,745,977.39/57,057.01
  6. Step 6: Final answer
    x = 43,548.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.