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Finding the Fourth Proportional to 35,578.68, 53,361.86 and 12,205.11

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Solution

The fourth proportional to 35,578.68, 53,361.86 and 12,205.11 is: 18,305.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,578.68 : 53,361.86 = 12,205.11 : x
  2. Step 2: Convert to fraction form
    35,578.68/53,361.86 = 12,205.11/x
  3. Step 3: Cross multiply
    35,578.68x = 53,361.86 × 12,205.11
  4. Step 4: Simplify right side
    35,578.68x = 651,287,310.08
  5. Step 5: Solve for x
    x = 651,287,310.08/35,578.68
  6. Step 6: Final answer
    x = 18,305.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.