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Finding the Fourth Proportional to 46,771.56, 64,524.21 and 27,897.78

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Solution

The fourth proportional to 46,771.56, 64,524.21 and 27,897.78 is: 38,486.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,771.56 : 64,524.21 = 27,897.78 : x
  2. Step 2: Convert to fraction form
    46,771.56/64,524.21 = 27,897.78/x
  3. Step 3: Cross multiply
    46,771.56x = 64,524.21 × 27,897.78
  4. Step 4: Simplify right side
    46,771.56x = 1,800,082,215.25
  5. Step 5: Solve for x
    x = 1,800,082,215.25/46,771.56
  6. Step 6: Final answer
    x = 38,486.68

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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.