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Finding the Fourth Proportional to 51,972.60, 71,722.26 and 28,099.28

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Solution

The fourth proportional to 51,972.60, 71,722.26 and 28,099.28 is: 38,777.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,972.60 : 71,722.26 = 28,099.28 : x
  2. Step 2: Convert to fraction form
    51,972.60/71,722.26 = 28,099.28/x
  3. Step 3: Cross multiply
    51,972.60x = 71,722.26 × 28,099.28
  4. Step 4: Simplify right side
    51,972.60x = 2,015,343,865.97
  5. Step 5: Solve for x
    x = 2,015,343,865.97/51,972.60
  6. Step 6: Final answer
    x = 38,777.05

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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.