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Finding the Fourth Proportional to 35,138.25, 52,714.67 and 14,361.75

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Solution

The fourth proportional to 35,138.25, 52,714.67 and 14,361.75 is: 21,545.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,138.25 : 52,714.67 = 14,361.75 : x
  2. Step 2: Convert to fraction form
    35,138.25/52,714.67 = 14,361.75/x
  3. Step 3: Cross multiply
    35,138.25x = 52,714.67 × 14,361.75
  4. Step 4: Simplify right side
    35,138.25x = 757,074,840.06
  5. Step 5: Solve for x
    x = 757,074,840.06/35,138.25
  6. Step 6: Final answer
    x = 21,545.60

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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.