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Finding the Fourth Proportional to 33,037.60, 49,556.42 and 9,664.06

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Solution

The fourth proportional to 33,037.60, 49,556.42 and 9,664.06 is: 14,496.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,037.60 : 49,556.42 = 9,664.06 : x
  2. Step 2: Convert to fraction form
    33,037.60/49,556.42 = 9,664.06/x
  3. Step 3: Cross multiply
    33,037.60x = 49,556.42 × 9,664.06
  4. Step 4: Simplify right side
    33,037.60x = 478,916,216.27
  5. Step 5: Solve for x
    x = 478,916,216.27/33,037.60
  6. Step 6: Final answer
    x = 14,496.10

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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.