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Finding the Fourth Proportional to 109,763.10, 164,625.50 and 30,858.57

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Solution

The fourth proportional to 109,763.10, 164,625.50 and 30,858.57 is: 46,282.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,763.10 : 164,625.50 = 30,858.57 : x
  2. Step 2: Convert to fraction form
    109,763.10/164,625.50 = 30,858.57/x
  3. Step 3: Cross multiply
    109,763.10x = 164,625.50 × 30,858.57
  4. Step 4: Simplify right side
    109,763.10x = 5,080,107,361.24
  5. Step 5: Solve for x
    x = 5,080,107,361.24/109,763.10
  6. Step 6: Final answer
    x = 46,282.47

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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.