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Finding the Fourth Proportional to 82,285.38, 113,546.88 and 48,290.22

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Solution

The fourth proportional to 82,285.38, 113,546.88 and 48,290.22 is: 66,636.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,285.38 : 113,546.88 = 48,290.22 : x
  2. Step 2: Convert to fraction form
    82,285.38/113,546.88 = 48,290.22/x
  3. Step 3: Cross multiply
    82,285.38x = 113,546.88 × 48,290.22
  4. Step 4: Simplify right side
    82,285.38x = 5,483,203,815.51
  5. Step 5: Solve for x
    x = 5,483,203,815.51/82,285.38
  6. Step 6: Final answer
    x = 66,636.43

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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.