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Finding the Fourth Proportional to 46,266, 69,408.72 and 18,564

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Solution

The fourth proportional to 46,266, 69,408.72 and 18,564 is: 27,849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,266 : 69,408.72 = 18,564 : x
  2. Step 2: Convert to fraction form
    46,266/69,408.72 = 18,564/x
  3. Step 3: Cross multiply
    46,266x = 69,408.72 × 18,564
  4. Step 4: Simplify right side
    46,266x = 1,288,503,478.08
  5. Step 5: Solve for x
    x = 1,288,503,478.08/46,266
  6. Step 6: Final answer
    x = 27,849.90

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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.