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Finding the Fourth Proportional to 82,825.74, 124,791.84 and 74,938.37

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Solution

The fourth proportional to 82,825.74, 124,791.84 and 74,938.37 is: 112,908.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,825.74 : 124,791.84 = 74,938.37 : x
  2. Step 2: Convert to fraction form
    82,825.74/124,791.84 = 74,938.37/x
  3. Step 3: Cross multiply
    82,825.74x = 124,791.84 × 74,938.37
  4. Step 4: Simplify right side
    82,825.74x = 9,351,696,454.94
  5. Step 5: Solve for x
    x = 9,351,696,454.94/82,825.74
  6. Step 6: Final answer
    x = 112,908.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.