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Finding the Fourth Proportional to 50,772.70, 70,065.84 and 29,254.54

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Solution

The fourth proportional to 50,772.70, 70,065.84 and 29,254.54 is: 40,370.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,772.70 : 70,065.84 = 29,254.54 : x
  2. Step 2: Convert to fraction form
    50,772.70/70,065.84 = 29,254.54/x
  3. Step 3: Cross multiply
    50,772.70x = 70,065.84 × 29,254.54
  4. Step 4: Simplify right side
    50,772.70x = 2,049,743,918.91
  5. Step 5: Solve for x
    x = 2,049,743,918.91/50,772.70
  6. Step 6: Final answer
    x = 40,370.99

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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.