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Finding the Fourth Proportional to 56,474.49, 84,844.12 and 53,282.85

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Solution

The fourth proportional to 56,474.49, 84,844.12 and 53,282.85 is: 80,049.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,474.49 : 84,844.12 = 53,282.85 : x
  2. Step 2: Convert to fraction form
    56,474.49/84,844.12 = 53,282.85/x
  3. Step 3: Cross multiply
    56,474.49x = 84,844.12 × 53,282.85
  4. Step 4: Simplify right side
    56,474.49x = 4,520,736,519.34
  5. Step 5: Solve for x
    x = 4,520,736,519.34/56,474.49
  6. Step 6: Final answer
    x = 80,049.18

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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.