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Finding the Fourth Proportional to 50,805.48, 70,112.72 and 29,577

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Solution

The fourth proportional to 50,805.48, 70,112.72 and 29,577 is: 40,816.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,805.48 : 70,112.72 = 29,577 : x
  2. Step 2: Convert to fraction form
    50,805.48/70,112.72 = 29,577/x
  3. Step 3: Cross multiply
    50,805.48x = 70,112.72 × 29,577
  4. Step 4: Simplify right side
    50,805.48x = 2,073,723,919.44
  5. Step 5: Solve for x
    x = 2,073,723,919.44/50,805.48
  6. Step 6: Final answer
    x = 40,816.93

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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.