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Finding the Fourth Proportional to 27,234.82, 40,843.59 and 8,762.50

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Solution

The fourth proportional to 27,234.82, 40,843.59 and 8,762.50 is: 13,140.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,234.82 : 40,843.59 = 8,762.50 : x
  2. Step 2: Convert to fraction form
    27,234.82/40,843.59 = 8,762.50/x
  3. Step 3: Cross multiply
    27,234.82x = 40,843.59 × 8,762.50
  4. Step 4: Simplify right side
    27,234.82x = 357,891,957.38
  5. Step 5: Solve for x
    x = 357,891,957.38/27,234.82
  6. Step 6: Final answer
    x = 13,140.97

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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.