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Finding the Fourth Proportional to 75,346.58, 103,982.37 and 41,813.30

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Solution

The fourth proportional to 75,346.58, 103,982.37 and 41,813.30 is: 57,704.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,346.58 : 103,982.37 = 41,813.30 : x
  2. Step 2: Convert to fraction form
    75,346.58/103,982.37 = 41,813.30/x
  3. Step 3: Cross multiply
    75,346.58x = 103,982.37 × 41,813.30
  4. Step 4: Simplify right side
    75,346.58x = 4,347,846,031.52
  5. Step 5: Solve for x
    x = 4,347,846,031.52/75,346.58
  6. Step 6: Final answer
    x = 57,704.62

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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.