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Finding the Fourth Proportional to 75,379.70, 113,085.95 and 22,787.81

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Solution

The fourth proportional to 75,379.70, 113,085.95 and 22,787.81 is: 34,186.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,379.70 : 113,085.95 = 22,787.81 : x
  2. Step 2: Convert to fraction form
    75,379.70/113,085.95 = 22,787.81/x
  3. Step 3: Cross multiply
    75,379.70x = 113,085.95 × 22,787.81
  4. Step 4: Simplify right side
    75,379.70x = 2,576,981,142.27
  5. Step 5: Solve for x
    x = 2,576,981,142.27/75,379.70
  6. Step 6: Final answer
    x = 34,186.67

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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.