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Finding the Fourth Proportional to 52,616.88, 72,599.34 and 31,392

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Solution

The fourth proportional to 52,616.88, 72,599.34 and 31,392 is: 43,313.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,616.88 : 72,599.34 = 31,392 : x
  2. Step 2: Convert to fraction form
    52,616.88/72,599.34 = 31,392/x
  3. Step 3: Cross multiply
    52,616.88x = 72,599.34 × 31,392
  4. Step 4: Simplify right side
    52,616.88x = 2,279,038,481.28
  5. Step 5: Solve for x
    x = 2,279,038,481.28/52,616.88
  6. Step 6: Final answer
    x = 43,313.83

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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.