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Finding the Fourth Proportional to 56,940.57, 78,582.42 and 41,902.38

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Solution

The fourth proportional to 56,940.57, 78,582.42 and 41,902.38 is: 57,828.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,940.57 : 78,582.42 = 41,902.38 : x
  2. Step 2: Convert to fraction form
    56,940.57/78,582.42 = 41,902.38/x
  3. Step 3: Cross multiply
    56,940.57x = 78,582.42 × 41,902.38
  4. Step 4: Simplify right side
    56,940.57x = 3,292,790,424.16
  5. Step 5: Solve for x
    x = 3,292,790,424.16/56,940.57
  6. Step 6: Final answer
    x = 57,828.55

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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.