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Finding the Fourth Proportional to 35,493.45, 48,980.64 and 19,578.03

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Solution

The fourth proportional to 35,493.45, 48,980.64 and 19,578.03 is: 27,017.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,493.45 : 48,980.64 = 19,578.03 : x
  2. Step 2: Convert to fraction form
    35,493.45/48,980.64 = 19,578.03/x
  3. Step 3: Cross multiply
    35,493.45x = 48,980.64 × 19,578.03
  4. Step 4: Simplify right side
    35,493.45x = 958,944,439.34
  5. Step 5: Solve for x
    x = 958,944,439.34/35,493.45
  6. Step 6: Final answer
    x = 27,017.50

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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.