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Finding the Fourth Proportional to 33,731.84, 50,588.93 and 10,033.01

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Solution

The fourth proportional to 33,731.84, 50,588.93 and 10,033.01 is: 15,046.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,731.84 : 50,588.93 = 10,033.01 : x
  2. Step 2: Convert to fraction form
    33,731.84/50,588.93 = 10,033.01/x
  3. Step 3: Cross multiply
    33,731.84x = 50,588.93 × 10,033.01
  4. Step 4: Simplify right side
    33,731.84x = 507,559,458.77
  5. Step 5: Solve for x
    x = 507,559,458.77/33,731.84
  6. Step 6: Final answer
    x = 15,046.89

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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.