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Finding the Fourth Proportional to 80,287.79, 119,943.34 and 51,977.21

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Solution

The fourth proportional to 80,287.79, 119,943.34 and 51,977.21 is: 77,649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,287.79 : 119,943.34 = 51,977.21 : x
  2. Step 2: Convert to fraction form
    80,287.79/119,943.34 = 51,977.21/x
  3. Step 3: Cross multiply
    80,287.79x = 119,943.34 × 51,977.21
  4. Step 4: Simplify right side
    80,287.79x = 6,234,320,301.22
  5. Step 5: Solve for x
    x = 6,234,320,301.22/80,287.79
  6. Step 6: Final answer
    x = 77,649.67

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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.