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Finding the Fourth Proportional to 27,432, 41,141.76 and 7,712.48

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Solution

The fourth proportional to 27,432, 41,141.76 and 7,712.48 is: 11,566.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,432 : 41,141.76 = 7,712.48 : x
  2. Step 2: Convert to fraction form
    27,432/41,141.76 = 7,712.48/x
  3. Step 3: Cross multiply
    27,432x = 41,141.76 × 7,712.48
  4. Step 4: Simplify right side
    27,432x = 317,305,001.16
  5. Step 5: Solve for x
    x = 317,305,001.16/27,432
  6. Step 6: Final answer
    x = 11,566.97

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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.