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Finding the Fourth Proportional to 82,330.97, 113,617.08 and 44,605.22

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Solution

The fourth proportional to 82,330.97, 113,617.08 and 44,605.22 is: 61,555.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,330.97 : 113,617.08 = 44,605.22 : x
  2. Step 2: Convert to fraction form
    82,330.97/113,617.08 = 44,605.22/x
  3. Step 3: Cross multiply
    82,330.97x = 113,617.08 × 44,605.22
  4. Step 4: Simplify right side
    82,330.97x = 5,067,914,281.07
  5. Step 5: Solve for x
    x = 5,067,914,281.07/82,330.97
  6. Step 6: Final answer
    x = 61,555.39

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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.