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Finding the Fourth Proportional to 49,141.84, 73,669.10 and 19,149.12

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Solution

The fourth proportional to 49,141.84, 73,669.10 and 19,149.12 is: 28,706.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,141.84 : 73,669.10 = 19,149.12 : x
  2. Step 2: Convert to fraction form
    49,141.84/73,669.10 = 19,149.12/x
  3. Step 3: Cross multiply
    49,141.84x = 73,669.10 × 19,149.12
  4. Step 4: Simplify right side
    49,141.84x = 1,410,698,484.06
  5. Step 5: Solve for x
    x = 1,410,698,484.06/49,141.84
  6. Step 6: Final answer
    x = 28,706.67

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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.