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Finding the Fourth Proportional to 39,415.42, 54,388.49 and 22,421.82

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Solution

The fourth proportional to 39,415.42, 54,388.49 and 22,421.82 is: 30,939.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,415.42 : 54,388.49 = 22,421.82 : x
  2. Step 2: Convert to fraction form
    39,415.42/54,388.49 = 22,421.82/x
  3. Step 3: Cross multiply
    39,415.42x = 54,388.49 × 22,421.82
  4. Step 4: Simplify right side
    39,415.42x = 1,219,488,932.85
  5. Step 5: Solve for x
    x = 1,219,488,932.85/39,415.42
  6. Step 6: Final answer
    x = 30,939.39

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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.