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Finding the Fourth Proportional to 33,037.20, 49,563.48 and 9,664.08

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Solution

The fourth proportional to 33,037.20, 49,563.48 and 9,664.08 is: 14,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,037.20 : 49,563.48 = 9,664.08 : x
  2. Step 2: Convert to fraction form
    33,037.20/49,563.48 = 9,664.08/x
  3. Step 3: Cross multiply
    33,037.20x = 49,563.48 × 9,664.08
  4. Step 4: Simplify right side
    33,037.20x = 478,985,435.80
  5. Step 5: Solve for x
    x = 478,985,435.80/33,037.20
  6. Step 6: Final answer
    x = 14,498.37

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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.