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Finding the Fourth Proportional to 52,563.37, 72,546.86 and 31,344

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Solution

The fourth proportional to 52,563.37, 72,546.86 and 31,344 is: 43,260.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,563.37 : 72,546.86 = 31,344 : x
  2. Step 2: Convert to fraction form
    52,563.37/72,546.86 = 31,344/x
  3. Step 3: Cross multiply
    52,563.37x = 72,546.86 × 31,344
  4. Step 4: Simplify right side
    52,563.37x = 2,273,908,623.12
  5. Step 5: Solve for x
    x = 2,273,908,623.12/52,563.37
  6. Step 6: Final answer
    x = 43,260.33

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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.