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Finding the Fourth Proportional to 35,492.49, 48,978.81 and 19,576.98

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Solution

The fourth proportional to 35,492.49, 48,978.81 and 19,576.98 is: 27,015.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,492.49 : 48,978.81 = 19,576.98 : x
  2. Step 2: Convert to fraction form
    35,492.49/48,978.81 = 19,576.98/x
  3. Step 3: Cross multiply
    35,492.49x = 48,978.81 × 19,576.98
  4. Step 4: Simplify right side
    35,492.49x = 958,857,183.79
  5. Step 5: Solve for x
    x = 958,857,183.79/35,492.49
  6. Step 6: Final answer
    x = 27,015.78

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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.