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Finding the Fourth Proportional to 36,578.16, 50,474.88 and 20,664

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Solution

The fourth proportional to 36,578.16, 50,474.88 and 20,664 is: 28,514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,578.16 : 50,474.88 = 20,664 : x
  2. Step 2: Convert to fraction form
    36,578.16/50,474.88 = 20,664/x
  3. Step 3: Cross multiply
    36,578.16x = 50,474.88 × 20,664
  4. Step 4: Simplify right side
    36,578.16x = 1,043,012,920.32
  5. Step 5: Solve for x
    x = 1,043,012,920.32/36,578.16
  6. Step 6: Final answer
    x = 28,514.64

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