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Finding the Fourth Proportional to 43,654.44, 65,493.75 and 17,377.64

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Solution

The fourth proportional to 43,654.44, 65,493.75 and 17,377.64 is: 26,071.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,654.44 : 65,493.75 = 17,377.64 : x
  2. Step 2: Convert to fraction form
    43,654.44/65,493.75 = 17,377.64/x
  3. Step 3: Cross multiply
    43,654.44x = 65,493.75 × 17,377.64
  4. Step 4: Simplify right side
    43,654.44x = 1,138,126,809.75
  5. Step 5: Solve for x
    x = 1,138,126,809.75/43,654.44
  6. Step 6: Final answer
    x = 26,071.27

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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.