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Finding the Fourth Proportional to 82,498.33, 113,847.75 and 44,772.58

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Solution

The fourth proportional to 82,498.33, 113,847.75 and 44,772.58 is: 61,786.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,498.33 : 113,847.75 = 44,772.58 : x
  2. Step 2: Convert to fraction form
    82,498.33/113,847.75 = 44,772.58/x
  3. Step 3: Cross multiply
    82,498.33x = 113,847.75 × 44,772.58
  4. Step 4: Simplify right side
    82,498.33x = 5,097,257,210.08
  5. Step 5: Solve for x
    x = 5,097,257,210.08/82,498.33
  6. Step 6: Final answer
    x = 61,786.19

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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.