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Finding the Fourth Proportional to 59,682.60, 82,354 and 37,013.36

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Solution

The fourth proportional to 59,682.60, 82,354 and 37,013.36 is: 51,073.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,682.60 : 82,354 = 37,013.36 : x
  2. Step 2: Convert to fraction form
    59,682.60/82,354 = 37,013.36/x
  3. Step 3: Cross multiply
    59,682.60x = 82,354 × 37,013.36
  4. Step 4: Simplify right side
    59,682.60x = 3,048,198,249.44
  5. Step 5: Solve for x
    x = 3,048,198,249.44/59,682.60
  6. Step 6: Final answer
    x = 51,073.48

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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.