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Finding the Fourth Proportional to 27,142.19, 40,653.13 and 20,855.93

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Solution

The fourth proportional to 27,142.19, 40,653.13 and 20,855.93 is: 31,237.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.19 : 40,653.13 = 20,855.93 : x
  2. Step 2: Convert to fraction form
    27,142.19/40,653.13 = 20,855.93/x
  3. Step 3: Cross multiply
    27,142.19x = 40,653.13 × 20,855.93
  4. Step 4: Simplify right side
    27,142.19x = 847,858,833.56
  5. Step 5: Solve for x
    x = 847,858,833.56/27,142.19
  6. Step 6: Final answer
    x = 31,237.67

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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.