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Finding the Fourth Proportional to 52,353, 78,452.82 and 32,571.36

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Solution

The fourth proportional to 52,353, 78,452.82 and 32,571.36 is: 48,809.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,353 : 78,452.82 = 32,571.36 : x
  2. Step 2: Convert to fraction form
    52,353/78,452.82 = 32,571.36/x
  3. Step 3: Cross multiply
    52,353x = 78,452.82 × 32,571.36
  4. Step 4: Simplify right side
    52,353x = 2,555,315,043.24
  5. Step 5: Solve for x
    x = 2,555,315,043.24/52,353
  6. Step 6: Final answer
    x = 48,809.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.