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Finding the Fourth Proportional to 59,794, 82,525.44 and 34,658.08

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Solution

The fourth proportional to 59,794, 82,525.44 and 34,658.08 is: 47,833.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,794 : 82,525.44 = 34,658.08 : x
  2. Step 2: Convert to fraction form
    59,794/82,525.44 = 34,658.08/x
  3. Step 3: Cross multiply
    59,794x = 82,525.44 × 34,658.08
  4. Step 4: Simplify right side
    59,794x = 2,860,173,301.56
  5. Step 5: Solve for x
    x = 2,860,173,301.56/59,794
  6. Step 6: Final answer
    x = 47,833.78

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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.