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Finding the Fourth Proportional to 38,171.94, 57,294.36 and 23,409.69

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Solution

The fourth proportional to 38,171.94, 57,294.36 and 23,409.69 is: 35,136.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,171.94 : 57,294.36 = 23,409.69 : x
  2. Step 2: Convert to fraction form
    38,171.94/57,294.36 = 23,409.69/x
  3. Step 3: Cross multiply
    38,171.94x = 57,294.36 × 23,409.69
  4. Step 4: Simplify right side
    38,171.94x = 1,341,243,206.35
  5. Step 5: Solve for x
    x = 1,341,243,206.35/38,171.94
  6. Step 6: Final answer
    x = 35,136.89

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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.