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Finding the Fourth Proportional to 76,571.96, 114,418.66 and 58,459.96

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Solution

The fourth proportional to 76,571.96, 114,418.66 and 58,459.96 is: 87,354.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,571.96 : 114,418.66 = 58,459.96 : x
  2. Step 2: Convert to fraction form
    76,571.96/114,418.66 = 58,459.96/x
  3. Step 3: Cross multiply
    76,571.96x = 114,418.66 × 58,459.96
  4. Step 4: Simplify right side
    76,571.96x = 6,688,910,286.85
  5. Step 5: Solve for x
    x = 6,688,910,286.85/76,571.96
  6. Step 6: Final answer
    x = 87,354.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.