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Finding the Fourth Proportional to 82,471.56, 113,810.26 and 44,745

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Solution

The fourth proportional to 82,471.56, 113,810.26 and 44,745 is: 61,747.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,471.56 : 113,810.26 = 44,745 : x
  2. Step 2: Convert to fraction form
    82,471.56/113,810.26 = 44,745/x
  3. Step 3: Cross multiply
    82,471.56x = 113,810.26 × 44,745
  4. Step 4: Simplify right side
    82,471.56x = 5,092,440,083.70
  5. Step 5: Solve for x
    x = 5,092,440,083.70/82,471.56
  6. Step 6: Final answer
    x = 61,747.83

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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.