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Finding the Fourth Proportional to 33,186.66, 49,780.17 and 9,813.30

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Solution

The fourth proportional to 33,186.66, 49,780.17 and 9,813.30 is: 14,720.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,186.66 : 49,780.17 = 9,813.30 : x
  2. Step 2: Convert to fraction form
    33,186.66/49,780.17 = 9,813.30/x
  3. Step 3: Cross multiply
    33,186.66x = 49,780.17 × 9,813.30
  4. Step 4: Simplify right side
    33,186.66x = 488,507,742.26
  5. Step 5: Solve for x
    x = 488,507,742.26/33,186.66
  6. Step 6: Final answer
    x = 14,720.00

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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.