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Finding the Fourth Proportional to 38,216.50, 52,741.92 and 21,221.80

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Solution

The fourth proportional to 38,216.50, 52,741.92 and 21,221.80 is: 29,287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,216.50 : 52,741.92 = 21,221.80 : x
  2. Step 2: Convert to fraction form
    38,216.50/52,741.92 = 21,221.80/x
  3. Step 3: Cross multiply
    38,216.50x = 52,741.92 × 21,221.80
  4. Step 4: Simplify right side
    38,216.50x = 1,119,278,477.86
  5. Step 5: Solve for x
    x = 1,119,278,477.86/38,216.50
  6. Step 6: Final answer
    x = 29,287.83

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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.