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Finding the Fourth Proportional to 39,616, 59,349.84 and 19,871.44

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Solution

The fourth proportional to 39,616, 59,349.84 and 19,871.44 is: 29,769.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,616 : 59,349.84 = 19,871.44 : x
  2. Step 2: Convert to fraction form
    39,616/59,349.84 = 19,871.44/x
  3. Step 3: Cross multiply
    39,616x = 59,349.84 × 19,871.44
  4. Step 4: Simplify right side
    39,616x = 1,179,366,784.57
  5. Step 5: Solve for x
    x = 1,179,366,784.57/39,616
  6. Step 6: Final answer
    x = 29,769.96

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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.