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Finding the Fourth Proportional to 71,399.29, 106,899.26 and 53,814.01

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Solution

The fourth proportional to 71,399.29, 106,899.26 and 53,814.01 is: 80,570.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,399.29 : 106,899.26 = 53,814.01 : x
  2. Step 2: Convert to fraction form
    71,399.29/106,899.26 = 53,814.01/x
  3. Step 3: Cross multiply
    71,399.29x = 106,899.26 × 53,814.01
  4. Step 4: Simplify right side
    71,399.29x = 5,752,677,577.56
  5. Step 5: Solve for x
    x = 5,752,677,577.56/71,399.29
  6. Step 6: Final answer
    x = 80,570.52

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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.