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Finding the Fourth Proportional to 51,604.05, 77,581.05 and 41,206.89

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Solution

The fourth proportional to 51,604.05, 77,581.05 and 41,206.89 is: 61,950.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,604.05 : 77,581.05 = 41,206.89 : x
  2. Step 2: Convert to fraction form
    51,604.05/77,581.05 = 41,206.89/x
  3. Step 3: Cross multiply
    51,604.05x = 77,581.05 × 41,206.89
  4. Step 4: Simplify right side
    51,604.05x = 3,196,873,793.43
  5. Step 5: Solve for x
    x = 3,196,873,793.43/51,604.05
  6. Step 6: Final answer
    x = 61,950.06

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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.