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Finding the Fourth Proportional to 47,691.88, 65,832.46 and 40,950.43

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Solution

The fourth proportional to 47,691.88, 65,832.46 and 40,950.43 is: 56,526.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,691.88 : 65,832.46 = 40,950.43 : x
  2. Step 2: Convert to fraction form
    47,691.88/65,832.46 = 40,950.43/x
  3. Step 3: Cross multiply
    47,691.88x = 65,832.46 × 40,950.43
  4. Step 4: Simplify right side
    47,691.88x = 2,695,867,011.04
  5. Step 5: Solve for x
    x = 2,695,867,011.04/47,691.88
  6. Step 6: Final answer
    x = 56,526.76

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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.