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Finding the Fourth Proportional to 76,580.46, 114,857.73 and 21,163.50

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Solution

The fourth proportional to 76,580.46, 114,857.73 and 21,163.50 is: 31,741.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,580.46 : 114,857.73 = 21,163.50 : x
  2. Step 2: Convert to fraction form
    76,580.46/114,857.73 = 21,163.50/x
  3. Step 3: Cross multiply
    76,580.46x = 114,857.73 × 21,163.50
  4. Step 4: Simplify right side
    76,580.46x = 2,430,791,568.86
  5. Step 5: Solve for x
    x = 2,430,791,568.86/76,580.46
  6. Step 6: Final answer
    x = 31,741.67

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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.