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Finding the Fourth Proportional to 38,648, 57,950.70 and 11,986.61

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Solution

The fourth proportional to 38,648, 57,950.70 and 11,986.61 is: 17,973.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,648 : 57,950.70 = 11,986.61 : x
  2. Step 2: Convert to fraction form
    38,648/57,950.70 = 11,986.61/x
  3. Step 3: Cross multiply
    38,648x = 57,950.70 × 11,986.61
  4. Step 4: Simplify right side
    38,648x = 694,632,440.13
  5. Step 5: Solve for x
    x = 694,632,440.13/38,648
  6. Step 6: Final answer
    x = 17,973.31

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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.