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Finding the Fourth Proportional to 75,815.67, 113,678.94 and 45,450.81

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Solution

The fourth proportional to 75,815.67, 113,678.94 and 45,450.81 is: 68,149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,815.67 : 113,678.94 = 45,450.81 : x
  2. Step 2: Convert to fraction form
    75,815.67/113,678.94 = 45,450.81/x
  3. Step 3: Cross multiply
    75,815.67x = 113,678.94 × 45,450.81
  4. Step 4: Simplify right side
    75,815.67x = 5,166,799,902.94
  5. Step 5: Solve for x
    x = 5,166,799,902.94/75,815.67
  6. Step 6: Final answer
    x = 68,149.50

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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.