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Finding the Fourth Proportional to 27,144.50, 40,708.94 and 9,370.54

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Solution

The fourth proportional to 27,144.50, 40,708.94 and 9,370.54 is: 14,053.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,144.50 : 40,708.94 = 9,370.54 : x
  2. Step 2: Convert to fraction form
    27,144.50/40,708.94 = 9,370.54/x
  3. Step 3: Cross multiply
    27,144.50x = 40,708.94 × 9,370.54
  4. Step 4: Simplify right side
    27,144.50x = 381,464,750.63
  5. Step 5: Solve for x
    x = 381,464,750.63/27,144.50
  6. Step 6: Final answer
    x = 14,053.11

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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.