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Finding the Fourth Proportional to 50,536.64, 69,734.99 and 29,311.81

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Solution

The fourth proportional to 50,536.64, 69,734.99 and 29,311.81 is: 40,447.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,536.64 : 69,734.99 = 29,311.81 : x
  2. Step 2: Convert to fraction form
    50,536.64/69,734.99 = 29,311.81/x
  3. Step 3: Cross multiply
    50,536.64x = 69,734.99 × 29,311.81
  4. Step 4: Simplify right side
    50,536.64x = 2,044,058,676.17
  5. Step 5: Solve for x
    x = 2,044,058,676.17/50,536.64
  6. Step 6: Final answer
    x = 40,447.06

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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.