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Finding the Fourth Proportional to 59,743.68, 82,441.74 and 34,249.80

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Solution

The fourth proportional to 59,743.68, 82,441.74 and 34,249.80 is: 47,262.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,743.68 : 82,441.74 = 34,249.80 : x
  2. Step 2: Convert to fraction form
    59,743.68/82,441.74 = 34,249.80/x
  3. Step 3: Cross multiply
    59,743.68x = 82,441.74 × 34,249.80
  4. Step 4: Simplify right side
    59,743.68x = 2,823,613,106.65
  5. Step 5: Solve for x
    x = 2,823,613,106.65/59,743.68
  6. Step 6: Final answer
    x = 47,262.12

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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.