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Finding the Fourth Proportional to 57,033.72, 78,703.32 and 31,538.56

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Solution

The fourth proportional to 57,033.72, 78,703.32 and 31,538.56 is: 43,521.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,033.72 : 78,703.32 = 31,538.56 : x
  2. Step 2: Convert to fraction form
    57,033.72/78,703.32 = 31,538.56/x
  3. Step 3: Cross multiply
    57,033.72x = 78,703.32 × 31,538.56
  4. Step 4: Simplify right side
    57,033.72x = 2,482,189,380.02
  5. Step 5: Solve for x
    x = 2,482,189,380.02/57,033.72
  6. Step 6: Final answer
    x = 43,521.44

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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.