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Finding the Fourth Proportional to 47,797.72, 65,960.70 and 26,577

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Solution

The fourth proportional to 47,797.72, 65,960.70 and 26,577 is: 36,676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,797.72 : 65,960.70 = 26,577 : x
  2. Step 2: Convert to fraction form
    47,797.72/65,960.70 = 26,577/x
  3. Step 3: Cross multiply
    47,797.72x = 65,960.70 × 26,577
  4. Step 4: Simplify right side
    47,797.72x = 1,753,037,523.90
  5. Step 5: Solve for x
    x = 1,753,037,523.90/47,797.72
  6. Step 6: Final answer
    x = 36,676.17

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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.