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Finding the Fourth Proportional to 75,671.58, 104,425.80 and 41,679.42

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Solution

The fourth proportional to 75,671.58, 104,425.80 and 41,679.42 is: 57,517.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,671.58 : 104,425.80 = 41,679.42 : x
  2. Step 2: Convert to fraction form
    75,671.58/104,425.80 = 41,679.42/x
  3. Step 3: Cross multiply
    75,671.58x = 104,425.80 × 41,679.42
  4. Step 4: Simplify right side
    75,671.58x = 4,352,406,777.04
  5. Step 5: Solve for x
    x = 4,352,406,777.04/75,671.58
  6. Step 6: Final answer
    x = 57,517.06

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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.