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Finding the Fourth Proportional to 33,059.10, 49,588.64 and 9,685.53

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Solution

The fourth proportional to 33,059.10, 49,588.64 and 9,685.53 is: 14,528.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,059.10 : 49,588.64 = 9,685.53 : x
  2. Step 2: Convert to fraction form
    33,059.10/49,588.64 = 9,685.53/x
  3. Step 3: Cross multiply
    33,059.10x = 49,588.64 × 9,685.53
  4. Step 4: Simplify right side
    33,059.10x = 480,292,260.38
  5. Step 5: Solve for x
    x = 480,292,260.38/33,059.10
  6. Step 6: Final answer
    x = 14,528.29

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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.