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Finding the Fourth Proportional to 71,282.97, 106,936.00 and 26,913.60

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Solution

The fourth proportional to 71,282.97, 106,936.00 and 26,913.60 is: 40,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,282.97 : 106,936.00 = 26,913.60 : x
  2. Step 2: Convert to fraction form
    71,282.97/106,936.00 = 26,913.60/x
  3. Step 3: Cross multiply
    71,282.97x = 106,936.00 × 26,913.60
  4. Step 4: Simplify right side
    71,282.97x = 2,878,032,662.32
  5. Step 5: Solve for x
    x = 2,878,032,662.32/71,282.97
  6. Step 6: Final answer
    x = 40,374.76

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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.