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Finding the Fourth Proportional to 35,494.38, 48,980.02 and 19,578.78

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Solution

The fourth proportional to 35,494.38, 48,980.02 and 19,578.78 is: 27,017.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,494.38 : 48,980.02 = 19,578.78 : x
  2. Step 2: Convert to fraction form
    35,494.38/48,980.02 = 19,578.78/x
  3. Step 3: Cross multiply
    35,494.38x = 48,980.02 × 19,578.78
  4. Step 4: Simplify right side
    35,494.38x = 958,969,035.98
  5. Step 5: Solve for x
    x = 958,969,035.98/35,494.38
  6. Step 6: Final answer
    x = 27,017.49

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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.