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Finding the Fourth Proportional to 38,732.64, 53,452.80 and 22,817.76

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Solution

The fourth proportional to 38,732.64, 53,452.80 and 22,817.76 is: 31,489.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,732.64 : 53,452.80 = 22,817.76 : x
  2. Step 2: Convert to fraction form
    38,732.64/53,452.80 = 22,817.76/x
  3. Step 3: Cross multiply
    38,732.64x = 53,452.80 × 22,817.76
  4. Step 4: Simplify right side
    38,732.64x = 1,219,673,161.73
  5. Step 5: Solve for x
    x = 1,219,673,161.73/38,732.64
  6. Step 6: Final answer
    x = 31,489.54

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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.