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Finding the Fourth Proportional to 39,530.40, 59,198.40 and 37,780.80

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Solution

The fourth proportional to 39,530.40, 59,198.40 and 37,780.80 is: 56,578.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,530.40 : 59,198.40 = 37,780.80 : x
  2. Step 2: Convert to fraction form
    39,530.40/59,198.40 = 37,780.80/x
  3. Step 3: Cross multiply
    39,530.40x = 59,198.40 × 37,780.80
  4. Step 4: Simplify right side
    39,530.40x = 2,236,562,910.72
  5. Step 5: Solve for x
    x = 2,236,562,910.72/39,530.40
  6. Step 6: Final answer
    x = 56,578.30

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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.