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Finding the Fourth Proportional to 35,493.98, 48,981.21 and 19,578.38

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Solution

The fourth proportional to 35,493.98, 48,981.21 and 19,578.38 is: 27,017.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,493.98 : 48,981.21 = 19,578.38 : x
  2. Step 2: Convert to fraction form
    35,493.98/48,981.21 = 19,578.38/x
  3. Step 3: Cross multiply
    35,493.98x = 48,981.21 × 19,578.38
  4. Step 4: Simplify right side
    35,493.98x = 958,972,742.24
  5. Step 5: Solve for x
    x = 958,972,742.24/35,493.98
  6. Step 6: Final answer
    x = 27,017.90

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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.