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Finding the Fourth Proportional to 59,556.80, 82,164.94 and 34,049.46

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Solution

The fourth proportional to 59,556.80, 82,164.94 and 34,049.46 is: 46,974.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,556.80 : 82,164.94 = 34,049.46 : x
  2. Step 2: Convert to fraction form
    59,556.80/82,164.94 = 34,049.46/x
  3. Step 3: Cross multiply
    59,556.80x = 82,164.94 × 34,049.46
  4. Step 4: Simplify right side
    59,556.80x = 2,797,671,837.93
  5. Step 5: Solve for x
    x = 2,797,671,837.93/59,556.80
  6. Step 6: Final answer
    x = 46,974.85

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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.