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Finding the Fourth Proportional to 75,644.60, 104,392.38 and 41,654.56

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Solution

The fourth proportional to 75,644.60, 104,392.38 and 41,654.56 is: 57,484.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,644.60 : 104,392.38 = 41,654.56 : x
  2. Step 2: Convert to fraction form
    75,644.60/104,392.38 = 41,654.56/x
  3. Step 3: Cross multiply
    75,644.60x = 104,392.38 × 41,654.56
  4. Step 4: Simplify right side
    75,644.60x = 4,348,418,656.25
  5. Step 5: Solve for x
    x = 4,348,418,656.25/75,644.60
  6. Step 6: Final answer
    x = 57,484.85

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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.