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Finding the Fourth Proportional to 49,205.36, 73,762.56 and 19,616

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Solution

The fourth proportional to 49,205.36, 73,762.56 and 19,616 is: 29,405.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,205.36 : 73,762.56 = 19,616 : x
  2. Step 2: Convert to fraction form
    49,205.36/73,762.56 = 19,616/x
  3. Step 3: Cross multiply
    49,205.36x = 73,762.56 × 19,616
  4. Step 4: Simplify right side
    49,205.36x = 1,446,926,376.96
  5. Step 5: Solve for x
    x = 1,446,926,376.96/49,205.36
  6. Step 6: Final answer
    x = 29,405.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.