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Finding the Fourth Proportional to 71,213.94, 106,820.94 and 26,850.66

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Solution

The fourth proportional to 71,213.94, 106,820.94 and 26,850.66 is: 40,276.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,213.94 : 106,820.94 = 26,850.66 : x
  2. Step 2: Convert to fraction form
    71,213.94/106,820.94 = 26,850.66/x
  3. Step 3: Cross multiply
    71,213.94x = 106,820.94 × 26,850.66
  4. Step 4: Simplify right side
    71,213.94x = 2,868,212,740.82
  5. Step 5: Solve for x
    x = 2,868,212,740.82/71,213.94
  6. Step 6: Final answer
    x = 40,276.00

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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.