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Finding the Fourth Proportional to 82,504.40, 113,855.41 and 44,778.65

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Solution

The fourth proportional to 82,504.40, 113,855.41 and 44,778.65 is: 61,794.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,504.40 : 113,855.41 = 44,778.65 : x
  2. Step 2: Convert to fraction form
    82,504.40/113,855.41 = 44,778.65/x
  3. Step 3: Cross multiply
    82,504.40x = 113,855.41 × 44,778.65
  4. Step 4: Simplify right side
    82,504.40x = 5,098,291,555.00
  5. Step 5: Solve for x
    x = 5,098,291,555.00/82,504.40
  6. Step 6: Final answer
    x = 61,794.18

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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.