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Finding the Fourth Proportional to 47,617.24, 71,402.94 and 17,611.32

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Solution

The fourth proportional to 47,617.24, 71,402.94 and 17,611.32 is: 26,408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,617.24 : 71,402.94 = 17,611.32 : x
  2. Step 2: Convert to fraction form
    47,617.24/71,402.94 = 17,611.32/x
  3. Step 3: Cross multiply
    47,617.24x = 71,402.94 × 17,611.32
  4. Step 4: Simplify right side
    47,617.24x = 1,257,500,025.28
  5. Step 5: Solve for x
    x = 1,257,500,025.28/47,617.24
  6. Step 6: Final answer
    x = 26,408.50

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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.