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Finding the Fourth Proportional to 48,863, 67,431.30 and 26,507

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Solution

The fourth proportional to 48,863, 67,431.30 and 26,507 is: 36,579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,863 : 67,431.30 = 26,507 : x
  2. Step 2: Convert to fraction form
    48,863/67,431.30 = 26,507/x
  3. Step 3: Cross multiply
    48,863x = 67,431.30 × 26,507
  4. Step 4: Simplify right side
    48,863x = 1,787,401,469.10
  5. Step 5: Solve for x
    x = 1,787,401,469.10/48,863
  6. Step 6: Final answer
    x = 36,579.86

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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.