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Finding the Fourth Proportional to 82,858.34, 124,191.09 and 47,344.53

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Solution

The fourth proportional to 82,858.34, 124,191.09 and 47,344.53 is: 70,961.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,858.34 : 124,191.09 = 47,344.53 : x
  2. Step 2: Convert to fraction form
    82,858.34/124,191.09 = 47,344.53/x
  3. Step 3: Cross multiply
    82,858.34x = 124,191.09 × 47,344.53
  4. Step 4: Simplify right side
    82,858.34x = 5,879,768,786.24
  5. Step 5: Solve for x
    x = 5,879,768,786.24/82,858.34
  6. Step 6: Final answer
    x = 70,961.71

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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.