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Finding the Fourth Proportional to 31,401, 43,333.38 and 17,253.95

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Solution

The fourth proportional to 31,401, 43,333.38 and 17,253.95 is: 23,810.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,401 : 43,333.38 = 17,253.95 : x
  2. Step 2: Convert to fraction form
    31,401/43,333.38 = 17,253.95/x
  3. Step 3: Cross multiply
    31,401x = 43,333.38 × 17,253.95
  4. Step 4: Simplify right side
    31,401x = 747,671,755.18
  5. Step 5: Solve for x
    x = 747,671,755.18/31,401
  6. Step 6: Final answer
    x = 23,810.44

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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.