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Finding the Fourth Proportional to 82,586.16, 113,968.23 and 44,860.38

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Solution

The fourth proportional to 82,586.16, 113,968.23 and 44,860.38 is: 61,906.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,586.16 : 113,968.23 = 44,860.38 : x
  2. Step 2: Convert to fraction form
    82,586.16/113,968.23 = 44,860.38/x
  3. Step 3: Cross multiply
    82,586.16x = 113,968.23 × 44,860.38
  4. Step 4: Simplify right side
    82,586.16x = 5,112,658,105.73
  5. Step 5: Solve for x
    x = 5,112,658,105.73/82,586.16
  6. Step 6: Final answer
    x = 61,906.96

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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.