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Finding the Fourth Proportional to 71,546.56, 98,733.52 and 39,714.64

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Solution

The fourth proportional to 71,546.56, 98,733.52 and 39,714.64 is: 54,805.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,546.56 : 98,733.52 = 39,714.64 : x
  2. Step 2: Convert to fraction form
    71,546.56/98,733.52 = 39,714.64/x
  3. Step 3: Cross multiply
    71,546.56x = 98,733.52 × 39,714.64
  4. Step 4: Simplify right side
    71,546.56x = 3,921,166,202.73
  5. Step 5: Solve for x
    x = 3,921,166,202.73/71,546.56
  6. Step 6: Final answer
    x = 54,805.80

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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.