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Finding the Fourth Proportional to 27,741.40, 41,614.18 and 8,020.10

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Solution

The fourth proportional to 27,741.40, 41,614.18 and 8,020.10 is: 12,030.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,741.40 : 41,614.18 = 8,020.10 : x
  2. Step 2: Convert to fraction form
    27,741.40/41,614.18 = 8,020.10/x
  3. Step 3: Cross multiply
    27,741.40x = 41,614.18 × 8,020.10
  4. Step 4: Simplify right side
    27,741.40x = 333,749,885.02
  5. Step 5: Solve for x
    x = 333,749,885.02/27,741.40
  6. Step 6: Final answer
    x = 12,030.75

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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.