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Finding the Fourth Proportional to 82,478.80, 113,821.23 and 44,753.02

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Solution

The fourth proportional to 82,478.80, 113,821.23 and 44,753.02 is: 61,759.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,478.80 : 113,821.23 = 44,753.02 : x
  2. Step 2: Convert to fraction form
    82,478.80/113,821.23 = 44,753.02/x
  3. Step 3: Cross multiply
    82,478.80x = 113,821.23 × 44,753.02
  4. Step 4: Simplify right side
    82,478.80x = 5,093,843,782.61
  5. Step 5: Solve for x
    x = 5,093,843,782.61/82,478.80
  6. Step 6: Final answer
    x = 61,759.43

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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.