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Finding the Fourth Proportional to 57,136.56, 78,848.67 and 31,642.37

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Solution

The fourth proportional to 57,136.56, 78,848.67 and 31,642.37 is: 43,666.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,136.56 : 78,848.67 = 31,642.37 : x
  2. Step 2: Convert to fraction form
    57,136.56/78,848.67 = 31,642.37/x
  3. Step 3: Cross multiply
    57,136.56x = 78,848.67 × 31,642.37
  4. Step 4: Simplify right side
    57,136.56x = 2,494,958,790.15
  5. Step 5: Solve for x
    x = 2,494,958,790.15/57,136.56
  6. Step 6: Final answer
    x = 43,666.59

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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.