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Finding the Fourth Proportional to 57,136.89, 78,849.14 and 31,642.70

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Solution

The fourth proportional to 57,136.89, 78,849.14 and 31,642.70 is: 43,667.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,136.89 : 78,849.14 = 31,642.70 : x
  2. Step 2: Convert to fraction form
    57,136.89/78,849.14 = 31,642.70/x
  3. Step 3: Cross multiply
    57,136.89x = 78,849.14 × 31,642.70
  4. Step 4: Simplify right side
    57,136.89x = 2,494,999,662.34
  5. Step 5: Solve for x
    x = 2,494,999,662.34/57,136.89
  6. Step 6: Final answer
    x = 43,667.05

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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.