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Finding the Fourth Proportional to 39,704.16, 54,787.68 and 23,788.20

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Solution

The fourth proportional to 39,704.16, 54,787.68 and 23,788.20 is: 32,825.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,704.16 : 54,787.68 = 23,788.20 : x
  2. Step 2: Convert to fraction form
    39,704.16/54,787.68 = 23,788.20/x
  3. Step 3: Cross multiply
    39,704.16x = 54,787.68 × 23,788.20
  4. Step 4: Simplify right side
    39,704.16x = 1,303,300,289.38
  5. Step 5: Solve for x
    x = 1,303,300,289.38/39,704.16
  6. Step 6: Final answer
    x = 32,825.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.