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Finding the Fourth Proportional to 71,087.82, 106,628.06 and 26,711.16

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Solution

The fourth proportional to 71,087.82, 106,628.06 and 26,711.16 is: 40,065.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,087.82 : 106,628.06 = 26,711.16 : x
  2. Step 2: Convert to fraction form
    71,087.82/106,628.06 = 26,711.16/x
  3. Step 3: Cross multiply
    71,087.82x = 106,628.06 × 26,711.16
  4. Step 4: Simplify right side
    71,087.82x = 2,848,159,171.15
  5. Step 5: Solve for x
    x = 2,848,159,171.15/71,087.82
  6. Step 6: Final answer
    x = 40,065.36

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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.