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Finding the Fourth Proportional to 82,506.87, 113,856.44 and 44,780.31

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Solution

The fourth proportional to 82,506.87, 113,856.44 and 44,780.31 is: 61,795.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,506.87 : 113,856.44 = 44,780.31 : x
  2. Step 2: Convert to fraction form
    82,506.87/113,856.44 = 44,780.31/x
  3. Step 3: Cross multiply
    82,506.87x = 113,856.44 × 44,780.31
  4. Step 4: Simplify right side
    82,506.87x = 5,098,526,454.79
  5. Step 5: Solve for x
    x = 5,098,526,454.79/82,506.87
  6. Step 6: Final answer
    x = 61,795.17

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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.