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Finding the Fourth Proportional to 30,175.84, 41,640.78 and 18,232.12

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Solution

The fourth proportional to 30,175.84, 41,640.78 and 18,232.12 is: 25,159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,175.84 : 41,640.78 = 18,232.12 : x
  2. Step 2: Convert to fraction form
    30,175.84/41,640.78 = 18,232.12/x
  3. Step 3: Cross multiply
    30,175.84x = 41,640.78 × 18,232.12
  4. Step 4: Simplify right side
    30,175.84x = 759,199,697.85
  5. Step 5: Solve for x
    x = 759,199,697.85/30,175.84
  6. Step 6: Final answer
    x = 25,159.19

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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.