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Finding the Fourth Proportional to 36,381.80, 54,575 and 11,422.80

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Solution

The fourth proportional to 36,381.80, 54,575 and 11,422.80 is: 17,134.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,381.80 : 54,575 = 11,422.80 : x
  2. Step 2: Convert to fraction form
    36,381.80/54,575 = 11,422.80/x
  3. Step 3: Cross multiply
    36,381.80x = 54,575 × 11,422.80
  4. Step 4: Simplify right side
    36,381.80x = 623,399,310
  5. Step 5: Solve for x
    x = 623,399,310/36,381.80
  6. Step 6: Final answer
    x = 17,134.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.