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Finding the Fourth Proportional to 54,697.57, 82,013.50 and 21,377.94

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Solution

The fourth proportional to 54,697.57, 82,013.50 and 21,377.94 is: 32,054.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,697.57 : 82,013.50 = 21,377.94 : x
  2. Step 2: Convert to fraction form
    54,697.57/82,013.50 = 21,377.94/x
  3. Step 3: Cross multiply
    54,697.57x = 82,013.50 × 21,377.94
  4. Step 4: Simplify right side
    54,697.57x = 1,753,279,682.19
  5. Step 5: Solve for x
    x = 1,753,279,682.19/54,697.57
  6. Step 6: Final answer
    x = 32,054.07

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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.