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Finding the Fourth Proportional to 32,647.80, 48,977.10 and 13,936.80

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Solution

The fourth proportional to 32,647.80, 48,977.10 and 13,936.80 is: 20,907.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,647.80 : 48,977.10 = 13,936.80 : x
  2. Step 2: Convert to fraction form
    32,647.80/48,977.10 = 13,936.80/x
  3. Step 3: Cross multiply
    32,647.80x = 48,977.10 × 13,936.80
  4. Step 4: Simplify right side
    32,647.80x = 682,584,047.28
  5. Step 5: Solve for x
    x = 682,584,047.28/32,647.80
  6. Step 6: Final answer
    x = 20,907.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.