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Finding the Fourth Proportional to 27,809.60, 41,721.26 and 8,088.33

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Solution

The fourth proportional to 27,809.60, 41,721.26 and 8,088.33 is: 12,134.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,809.60 : 41,721.26 = 8,088.33 : x
  2. Step 2: Convert to fraction form
    27,809.60/41,721.26 = 8,088.33/x
  3. Step 3: Cross multiply
    27,809.60x = 41,721.26 × 8,088.33
  4. Step 4: Simplify right side
    27,809.60x = 337,455,278.45
  5. Step 5: Solve for x
    x = 337,455,278.45/27,809.60
  6. Step 6: Final answer
    x = 12,134.49

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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.