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Finding the Fourth Proportional to 31,994.76, 47,999.16 and 9,809.82

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Solution

The fourth proportional to 31,994.76, 47,999.16 and 9,809.82 is: 14,716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,994.76 : 47,999.16 = 9,809.82 : x
  2. Step 2: Convert to fraction form
    31,994.76/47,999.16 = 9,809.82/x
  3. Step 3: Cross multiply
    31,994.76x = 47,999.16 × 9,809.82
  4. Step 4: Simplify right side
    31,994.76x = 470,863,119.75
  5. Step 5: Solve for x
    x = 470,863,119.75/31,994.76
  6. Step 6: Final answer
    x = 14,716.88

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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.