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Finding the Fourth Proportional to 73,701.34, 101,711.45 and 41,446.11

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Solution

The fourth proportional to 73,701.34, 101,711.45 and 41,446.11 is: 57,197.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,701.34 : 101,711.45 = 41,446.11 : x
  2. Step 2: Convert to fraction form
    73,701.34/101,711.45 = 41,446.11/x
  3. Step 3: Cross multiply
    73,701.34x = 101,711.45 × 41,446.11
  4. Step 4: Simplify right side
    73,701.34x = 4,215,543,944.96
  5. Step 5: Solve for x
    x = 4,215,543,944.96/73,701.34
  6. Step 6: Final answer
    x = 57,197.66

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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.