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Finding the Fourth Proportional to 82,211.80, 123,243.54 and 29,584.12

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Solution

The fourth proportional to 82,211.80, 123,243.54 and 29,584.12 is: 44,349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,211.80 : 123,243.54 = 29,584.12 : x
  2. Step 2: Convert to fraction form
    82,211.80/123,243.54 = 29,584.12/x
  3. Step 3: Cross multiply
    82,211.80x = 123,243.54 × 29,584.12
  4. Step 4: Simplify right side
    82,211.80x = 3,646,051,676.58
  5. Step 5: Solve for x
    x = 3,646,051,676.58/82,211.80
  6. Step 6: Final answer
    x = 44,349.49

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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.