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Finding the Fourth Proportional to 33,184.76, 49,777.13 and 9,809.39

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Solution

The fourth proportional to 33,184.76, 49,777.13 and 9,809.39 is: 14,714.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,184.76 : 49,777.13 = 9,809.39 : x
  2. Step 2: Convert to fraction form
    33,184.76/49,777.13 = 9,809.39/x
  3. Step 3: Cross multiply
    33,184.76x = 49,777.13 × 9,809.39
  4. Step 4: Simplify right side
    33,184.76x = 488,283,056.89
  5. Step 5: Solve for x
    x = 488,283,056.89/33,184.76
  6. Step 6: Final answer
    x = 14,714.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.