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Finding the Fourth Proportional to 38,265.30, 52,805.82 and 21,498.30

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Solution

The fourth proportional to 38,265.30, 52,805.82 and 21,498.30 is: 29,667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,265.30 : 52,805.82 = 21,498.30 : x
  2. Step 2: Convert to fraction form
    38,265.30/52,805.82 = 21,498.30/x
  3. Step 3: Cross multiply
    38,265.30x = 52,805.82 × 21,498.30
  4. Step 4: Simplify right side
    38,265.30x = 1,135,235,360.11
  5. Step 5: Solve for x
    x = 1,135,235,360.11/38,265.30
  6. Step 6: Final answer
    x = 29,667.49

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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.