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Finding the Fourth Proportional to 71,070.82, 106,586.77 and 26,694.14

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Solution

The fourth proportional to 71,070.82, 106,586.77 and 26,694.14 is: 40,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,070.82 : 106,586.77 = 26,694.14 : x
  2. Step 2: Convert to fraction form
    71,070.82/106,586.77 = 26,694.14/x
  3. Step 3: Cross multiply
    71,070.82x = 106,586.77 × 26,694.14
  4. Step 4: Simplify right side
    71,070.82x = 2,845,242,160.53
  5. Step 5: Solve for x
    x = 2,845,242,160.53/71,070.82
  6. Step 6: Final answer
    x = 40,033.90

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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.