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Finding the Fourth Proportional to 37,830.38, 52,209.56 and 21,063.38

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Solution

The fourth proportional to 37,830.38, 52,209.56 and 21,063.38 is: 29,069.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,830.38 : 52,209.56 = 21,063.38 : x
  2. Step 2: Convert to fraction form
    37,830.38/52,209.56 = 21,063.38/x
  3. Step 3: Cross multiply
    37,830.38x = 52,209.56 × 21,063.38
  4. Step 4: Simplify right side
    37,830.38x = 1,099,709,593.52
  5. Step 5: Solve for x
    x = 1,099,709,593.52/37,830.38
  6. Step 6: Final answer
    x = 29,069.49

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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.