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Finding the Fourth Proportional to 51,972.56, 71,722.10 and 28,099.22

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Solution

The fourth proportional to 51,972.56, 71,722.10 and 28,099.22 is: 38,776.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,972.56 : 71,722.10 = 28,099.22 : x
  2. Step 2: Convert to fraction form
    51,972.56/71,722.10 = 28,099.22/x
  3. Step 3: Cross multiply
    51,972.56x = 71,722.10 × 28,099.22
  4. Step 4: Simplify right side
    51,972.56x = 2,015,334,567.66
  5. Step 5: Solve for x
    x = 2,015,334,567.66/51,972.56
  6. Step 6: Final answer
    x = 38,776.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.