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Finding the Fourth Proportional to 33,829.14, 50,737.77 and 10,455.78

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Solution

The fourth proportional to 33,829.14, 50,737.77 and 10,455.78 is: 15,681.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,829.14 : 50,737.77 = 10,455.78 : x
  2. Step 2: Convert to fraction form
    33,829.14/50,737.77 = 10,455.78/x
  3. Step 3: Cross multiply
    33,829.14x = 50,737.77 × 10,455.78
  4. Step 4: Simplify right side
    33,829.14x = 530,502,960.81
  5. Step 5: Solve for x
    x = 530,502,960.81/33,829.14
  6. Step 6: Final answer
    x = 15,681.83

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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.