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Finding the Fourth Proportional to 82,428.39, 123,420.27 and 53,894.57

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Solution

The fourth proportional to 82,428.39, 123,420.27 and 53,894.57 is: 80,696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,428.39 : 123,420.27 = 53,894.57 : x
  2. Step 2: Convert to fraction form
    82,428.39/123,420.27 = 53,894.57/x
  3. Step 3: Cross multiply
    82,428.39x = 123,420.27 × 53,894.57
  4. Step 4: Simplify right side
    82,428.39x = 6,651,682,380.93
  5. Step 5: Solve for x
    x = 6,651,682,380.93/82,428.39
  6. Step 6: Final answer
    x = 80,696.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.