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Finding the Fourth Proportional to 39,768.40, 59,623.80 and 16,382.80

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Solution

The fourth proportional to 39,768.40, 59,623.80 and 16,382.80 is: 24,562.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,768.40 : 59,623.80 = 16,382.80 : x
  2. Step 2: Convert to fraction form
    39,768.40/59,623.80 = 16,382.80/x
  3. Step 3: Cross multiply
    39,768.40x = 59,623.80 × 16,382.80
  4. Step 4: Simplify right side
    39,768.40x = 976,804,790.64
  5. Step 5: Solve for x
    x = 976,804,790.64/39,768.40
  6. Step 6: Final answer
    x = 24,562.34

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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.