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Finding the Fourth Proportional to 33,096.80, 49,646.40 and 9,725.60

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Solution

The fourth proportional to 33,096.80, 49,646.40 and 9,725.60 is: 14,588.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,096.80 : 49,646.40 = 9,725.60 : x
  2. Step 2: Convert to fraction form
    33,096.80/49,646.40 = 9,725.60/x
  3. Step 3: Cross multiply
    33,096.80x = 49,646.40 × 9,725.60
  4. Step 4: Simplify right side
    33,096.80x = 482,841,027.84
  5. Step 5: Solve for x
    x = 482,841,027.84/33,096.80
  6. Step 6: Final answer
    x = 14,588.75

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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.