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Finding the Fourth Proportional to 80,302.26, 110,855.64 and 56,449.38

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Solution

The fourth proportional to 80,302.26, 110,855.64 and 56,449.38 is: 77,927.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,302.26 : 110,855.64 = 56,449.38 : x
  2. Step 2: Convert to fraction form
    80,302.26/110,855.64 = 56,449.38/x
  3. Step 3: Cross multiply
    80,302.26x = 110,855.64 × 56,449.38
  4. Step 4: Simplify right side
    80,302.26x = 6,257,732,147.50
  5. Step 5: Solve for x
    x = 6,257,732,147.50/80,302.26
  6. Step 6: Final answer
    x = 77,927.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.