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Finding the Fourth Proportional to 74,791.26, 103,206.12 and 42,954

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Solution

The fourth proportional to 74,791.26, 103,206.12 and 42,954 is: 59,273.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,791.26 : 103,206.12 = 42,954 : x
  2. Step 2: Convert to fraction form
    74,791.26/103,206.12 = 42,954/x
  3. Step 3: Cross multiply
    74,791.26x = 103,206.12 × 42,954
  4. Step 4: Simplify right side
    74,791.26x = 4,433,115,678.48
  5. Step 5: Solve for x
    x = 4,433,115,678.48/74,791.26
  6. Step 6: Final answer
    x = 59,273.18

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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.