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Finding the Fourth Proportional to 36,021.96, 54,032.78 and 9,729.40

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Solution

The fourth proportional to 36,021.96, 54,032.78 and 9,729.40 is: 14,594.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,021.96 : 54,032.78 = 9,729.40 : x
  2. Step 2: Convert to fraction form
    36,021.96/54,032.78 = 9,729.40/x
  3. Step 3: Cross multiply
    36,021.96x = 54,032.78 × 9,729.40
  4. Step 4: Simplify right side
    36,021.96x = 525,706,529.73
  5. Step 5: Solve for x
    x = 525,706,529.73/36,021.96
  6. Step 6: Final answer
    x = 14,594.06

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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.