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Finding the Fourth Proportional to 29,983.50, 41,380.88 and 17,408.25

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Solution

The fourth proportional to 29,983.50, 41,380.88 and 17,408.25 is: 24,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,983.50 : 41,380.88 = 17,408.25 : x
  2. Step 2: Convert to fraction form
    29,983.50/41,380.88 = 17,408.25/x
  3. Step 3: Cross multiply
    29,983.50x = 41,380.88 × 17,408.25
  4. Step 4: Simplify right side
    29,983.50x = 720,368,617.22
  5. Step 5: Solve for x
    x = 720,368,617.22/29,983.50
  6. Step 6: Final answer
    x = 24,025.50

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1.5x scale

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.