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Finding the Fourth Proportional to 52,408.16, 72,324.64 and 28,535.84

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Solution

The fourth proportional to 52,408.16, 72,324.64 and 28,535.84 is: 39,380.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,408.16 : 72,324.64 = 28,535.84 : x
  2. Step 2: Convert to fraction form
    52,408.16/72,324.64 = 28,535.84/x
  3. Step 3: Cross multiply
    52,408.16x = 72,324.64 × 28,535.84
  4. Step 4: Simplify right side
    52,408.16x = 2,063,844,355.10
  5. Step 5: Solve for x
    x = 2,063,844,355.10/52,408.16
  6. Step 6: Final answer
    x = 39,380.21

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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.