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Finding the Fourth Proportional to 73,347.66, 109,956.69 and 31,771.98

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Solution

The fourth proportional to 73,347.66, 109,956.69 and 31,771.98 is: 47,629.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,347.66 : 109,956.69 = 31,771.98 : x
  2. Step 2: Convert to fraction form
    73,347.66/109,956.69 = 31,771.98/x
  3. Step 3: Cross multiply
    73,347.66x = 109,956.69 × 31,771.98
  4. Step 4: Simplify right side
    73,347.66x = 3,493,541,755.55
  5. Step 5: Solve for x
    x = 3,493,541,755.55/73,347.66
  6. Step 6: Final answer
    x = 47,629.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.