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Finding the Fourth Proportional to 35,482.41, 48,968.15 and 20,578.41

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Solution

The fourth proportional to 35,482.41, 48,968.15 and 20,578.41 is: 28,399.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,482.41 : 48,968.15 = 20,578.41 : x
  2. Step 2: Convert to fraction form
    35,482.41/48,968.15 = 20,578.41/x
  3. Step 3: Cross multiply
    35,482.41x = 48,968.15 × 20,578.41
  4. Step 4: Simplify right side
    35,482.41x = 1,007,686,564.75
  5. Step 5: Solve for x
    x = 1,007,686,564.75/35,482.41
  6. Step 6: Final answer
    x = 28,399.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.