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Finding the Fourth Proportional to 76,363.74, 114,530.49 and 25,757.76

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Solution

The fourth proportional to 76,363.74, 114,530.49 and 25,757.76 is: 38,631.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,363.74 : 114,530.49 = 25,757.76 : x
  2. Step 2: Convert to fraction form
    76,363.74/114,530.49 = 25,757.76/x
  3. Step 3: Cross multiply
    76,363.74x = 114,530.49 × 25,757.76
  4. Step 4: Simplify right side
    76,363.74x = 2,950,048,874.10
  5. Step 5: Solve for x
    x = 2,950,048,874.10/76,363.74
  6. Step 6: Final answer
    x = 38,631.54

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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.