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Finding the Fourth Proportional to 43,954.11, 65,689.85 and 32,132.77

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Solution

The fourth proportional to 43,954.11, 65,689.85 and 32,132.77 is: 48,022.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,954.11 : 65,689.85 = 32,132.77 : x
  2. Step 2: Convert to fraction form
    43,954.11/65,689.85 = 32,132.77/x
  3. Step 3: Cross multiply
    43,954.11x = 65,689.85 × 32,132.77
  4. Step 4: Simplify right side
    43,954.11x = 2,110,796,757.49
  5. Step 5: Solve for x
    x = 2,110,796,757.49/43,954.11
  6. Step 6: Final answer
    x = 48,022.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.