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Finding the Fourth Proportional to 80,242.36, 110,716.14 and 51,577

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Solution

The fourth proportional to 80,242.36, 110,716.14 and 51,577 is: 71,164.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,242.36 : 110,716.14 = 51,577 : x
  2. Step 2: Convert to fraction form
    80,242.36/110,716.14 = 51,577/x
  3. Step 3: Cross multiply
    80,242.36x = 110,716.14 × 51,577
  4. Step 4: Simplify right side
    80,242.36x = 5,710,406,352.78
  5. Step 5: Solve for x
    x = 5,710,406,352.78/80,242.36
  6. Step 6: Final answer
    x = 71,164.49

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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.