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Finding the Fourth Proportional to 71,172.51, 106,722.49 and 23,770.55

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Solution

The fourth proportional to 71,172.51, 106,722.49 and 23,770.55 is: 35,643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,172.51 : 106,722.49 = 23,770.55 : x
  2. Step 2: Convert to fraction form
    71,172.51/106,722.49 = 23,770.55/x
  3. Step 3: Cross multiply
    71,172.51x = 106,722.49 × 23,770.55
  4. Step 4: Simplify right side
    71,172.51x = 2,536,852,284.67
  5. Step 5: Solve for x
    x = 2,536,852,284.67/71,172.51
  6. Step 6: Final answer
    x = 35,643.71

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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.