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Finding the Fourth Proportional to 52,625.70, 72,611.64 and 31,401

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Solution

The fourth proportional to 52,625.70, 72,611.64 and 31,401 is: 43,326.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,625.70 : 72,611.64 = 31,401 : x
  2. Step 2: Convert to fraction form
    52,625.70/72,611.64 = 31,401/x
  3. Step 3: Cross multiply
    52,625.70x = 72,611.64 × 31,401
  4. Step 4: Simplify right side
    52,625.70x = 2,280,078,107.64
  5. Step 5: Solve for x
    x = 2,280,078,107.64/52,625.70
  6. Step 6: Final answer
    x = 43,326.32

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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.