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Finding the Fourth Proportional to 71,296.74, 106,969.41 and 26,936.28

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Solution

The fourth proportional to 71,296.74, 106,969.41 and 26,936.28 is: 40,413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,296.74 : 106,969.41 = 26,936.28 : x
  2. Step 2: Convert to fraction form
    71,296.74/106,969.41 = 26,936.28/x
  3. Step 3: Cross multiply
    71,296.74x = 106,969.41 × 26,936.28
  4. Step 4: Simplify right side
    71,296.74x = 2,881,357,979.19
  5. Step 5: Solve for x
    x = 2,881,357,979.19/71,296.74
  6. Step 6: Final answer
    x = 40,413.60

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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.