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Finding the Fourth Proportional to 52,027.44, 71,797.32 and 28,153.60

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Solution

The fourth proportional to 52,027.44, 71,797.32 and 28,153.60 is: 38,851.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,027.44 : 71,797.32 = 28,153.60 : x
  2. Step 2: Convert to fraction form
    52,027.44/71,797.32 = 28,153.60/x
  3. Step 3: Cross multiply
    52,027.44x = 71,797.32 × 28,153.60
  4. Step 4: Simplify right side
    52,027.44x = 2,021,353,028.35
  5. Step 5: Solve for x
    x = 2,021,353,028.35/52,027.44
  6. Step 6: Final answer
    x = 38,851.67

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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.