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Finding the Fourth Proportional to 27,864, 41,802.48 and 20,058.84

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Solution

The fourth proportional to 27,864, 41,802.48 and 20,058.84 is: 30,092.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,864 : 41,802.48 = 20,058.84 : x
  2. Step 2: Convert to fraction form
    27,864/41,802.48 = 20,058.84/x
  3. Step 3: Cross multiply
    27,864x = 41,802.48 × 20,058.84
  4. Step 4: Simplify right side
    27,864x = 838,509,257.92
  5. Step 5: Solve for x
    x = 838,509,257.92/27,864
  6. Step 6: Final answer
    x = 30,092.92

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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.