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Finding the Fourth Proportional to 27,661.50, 41,494.14 and 7,938.54

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Solution

The fourth proportional to 27,661.50, 41,494.14 and 7,938.54 is: 11,908.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,661.50 : 41,494.14 = 7,938.54 : x
  2. Step 2: Convert to fraction form
    27,661.50/41,494.14 = 7,938.54/x
  3. Step 3: Cross multiply
    27,661.50x = 41,494.14 × 7,938.54
  4. Step 4: Simplify right side
    27,661.50x = 329,402,890.16
  5. Step 5: Solve for x
    x = 329,402,890.16/27,661.50
  6. Step 6: Final answer
    x = 11,908.35

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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.