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Finding the Fourth Proportional to 57,742.70, 86,608.38 and 39,142.22

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Solution

The fourth proportional to 57,742.70, 86,608.38 and 39,142.22 is: 58,709.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,742.70 : 86,608.38 = 39,142.22 : x
  2. Step 2: Convert to fraction form
    57,742.70/86,608.38 = 39,142.22/x
  3. Step 3: Cross multiply
    57,742.70x = 86,608.38 × 39,142.22
  4. Step 4: Simplify right side
    57,742.70x = 3,390,044,263.80
  5. Step 5: Solve for x
    x = 3,390,044,263.80/57,742.70
  6. Step 6: Final answer
    x = 58,709.49

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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.