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Finding the Fourth Proportional to 71,213.63, 106,820.67 and 26,828.46

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Solution

The fourth proportional to 71,213.63, 106,820.67 and 26,828.46 is: 40,242.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,213.63 : 106,820.67 = 26,828.46 : x
  2. Step 2: Convert to fraction form
    71,213.63/106,820.67 = 26,828.46/x
  3. Step 3: Cross multiply
    71,213.63x = 106,820.67 × 26,828.46
  4. Step 4: Simplify right side
    71,213.63x = 2,865,834,072.27
  5. Step 5: Solve for x
    x = 2,865,834,072.27/71,213.63
  6. Step 6: Final answer
    x = 40,242.78

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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.