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Finding the Fourth Proportional to 54,651.84, 82,011.72 and 49,393.20

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Solution

The fourth proportional to 54,651.84, 82,011.72 and 49,393.20 is: 74,120.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,651.84 : 82,011.72 = 49,393.20 : x
  2. Step 2: Convert to fraction form
    54,651.84/82,011.72 = 49,393.20/x
  3. Step 3: Cross multiply
    54,651.84x = 82,011.72 × 49,393.20
  4. Step 4: Simplify right side
    54,651.84x = 4,050,821,288.30
  5. Step 5: Solve for x
    x = 4,050,821,288.30/54,651.84
  6. Step 6: Final answer
    x = 74,120.49

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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.