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Finding the Fourth Proportional to 33,129.30, 49,676.85 and 9,752.70

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Solution

The fourth proportional to 33,129.30, 49,676.85 and 9,752.70 is: 14,624.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,129.30 : 49,676.85 = 9,752.70 : x
  2. Step 2: Convert to fraction form
    33,129.30/49,676.85 = 9,752.70/x
  3. Step 3: Cross multiply
    33,129.30x = 49,676.85 × 9,752.70
  4. Step 4: Simplify right side
    33,129.30x = 484,483,415.00
  5. Step 5: Solve for x
    x = 484,483,415.00/33,129.30
  6. Step 6: Final answer
    x = 14,624.02

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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.