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Finding the Fourth Proportional to 27,004.34, 40,506.50 and 10,141.22

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Solution

The fourth proportional to 27,004.34, 40,506.50 and 10,141.22 is: 15,211.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,004.34 : 40,506.50 = 10,141.22 : x
  2. Step 2: Convert to fraction form
    27,004.34/40,506.50 = 10,141.22/x
  3. Step 3: Cross multiply
    27,004.34x = 40,506.50 × 10,141.22
  4. Step 4: Simplify right side
    27,004.34x = 410,785,327.93
  5. Step 5: Solve for x
    x = 410,785,327.93/27,004.34
  6. Step 6: Final answer
    x = 15,211.83

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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.