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Finding the Fourth Proportional to 37,872.82, 52,358.97 and 28,424.98

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Solution

The fourth proportional to 37,872.82, 52,358.97 and 28,424.98 is: 39,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,872.82 : 52,358.97 = 28,424.98 : x
  2. Step 2: Convert to fraction form
    37,872.82/52,358.97 = 28,424.98/x
  3. Step 3: Cross multiply
    37,872.82x = 52,358.97 × 28,424.98
  4. Step 4: Simplify right side
    37,872.82x = 1,488,302,675.07
  5. Step 5: Solve for x
    x = 1,488,302,675.07/37,872.82
  6. Step 6: Final answer
    x = 39,297.38

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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.