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Finding the Fourth Proportional to 81,482.55, 122,204.98 and 31,546.05

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Solution

The fourth proportional to 81,482.55, 122,204.98 and 31,546.05 is: 47,311.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,482.55 : 122,204.98 = 31,546.05 : x
  2. Step 2: Convert to fraction form
    81,482.55/122,204.98 = 31,546.05/x
  3. Step 3: Cross multiply
    81,482.55x = 122,204.98 × 31,546.05
  4. Step 4: Simplify right side
    81,482.55x = 3,855,084,409.33
  5. Step 5: Solve for x
    x = 3,855,084,409.33/81,482.55
  6. Step 6: Final answer
    x = 47,311.78

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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.