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Finding the Fourth Proportional to 53,828.50, 80,742.78 and 25,741.92

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Solution

The fourth proportional to 53,828.50, 80,742.78 and 25,741.92 is: 38,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,828.50 : 80,742.78 = 25,741.92 : x
  2. Step 2: Convert to fraction form
    53,828.50/80,742.78 = 25,741.92/x
  3. Step 3: Cross multiply
    53,828.50x = 80,742.78 × 25,741.92
  4. Step 4: Simplify right side
    53,828.50x = 2,078,474,183.34
  5. Step 5: Solve for x
    x = 2,078,474,183.34/53,828.50
  6. Step 6: Final answer
    x = 38,612.89

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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.