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Finding the Fourth Proportional to 82,471.16, 113,809.74 and 44,744.60

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Solution

The fourth proportional to 82,471.16, 113,809.74 and 44,744.60 is: 61,747.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,471.16 : 113,809.74 = 44,744.60 : x
  2. Step 2: Convert to fraction form
    82,471.16/113,809.74 = 44,744.60/x
  3. Step 3: Cross multiply
    82,471.16x = 113,809.74 × 44,744.60
  4. Step 4: Simplify right side
    82,471.16x = 5,092,371,292.40
  5. Step 5: Solve for x
    x = 5,092,371,292.40/82,471.16
  6. Step 6: Final answer
    x = 61,747.30

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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.