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Finding the Fourth Proportional to 71,222.76, 106,758.81 and 26,830.31

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Solution

The fourth proportional to 71,222.76, 106,758.81 and 26,830.31 is: 40,217.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,222.76 : 106,758.81 = 26,830.31 : x
  2. Step 2: Convert to fraction form
    71,222.76/106,758.81 = 26,830.31/x
  3. Step 3: Cross multiply
    71,222.76x = 106,758.81 × 26,830.31
  4. Step 4: Simplify right side
    71,222.76x = 2,864,371,967.53
  5. Step 5: Solve for x
    x = 2,864,371,967.53/71,222.76
  6. Step 6: Final answer
    x = 40,217.09

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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.