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Finding the Fourth Proportional to 74,496.96, 102,791.08 and 41,792.48

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Solution

The fourth proportional to 74,496.96, 102,791.08 and 41,792.48 is: 57,665.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,496.96 : 102,791.08 = 41,792.48 : x
  2. Step 2: Convert to fraction form
    74,496.96/102,791.08 = 41,792.48/x
  3. Step 3: Cross multiply
    74,496.96x = 102,791.08 × 41,792.48
  4. Step 4: Simplify right side
    74,496.96x = 4,295,894,155.08
  5. Step 5: Solve for x
    x = 4,295,894,155.08/74,496.96
  6. Step 6: Final answer
    x = 57,665.36

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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.