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Finding the Fourth Proportional to 59,786.36, 82,415.03 and 49,157.54

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Solution

The fourth proportional to 59,786.36, 82,415.03 and 49,157.54 is: 67,763.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,786.36 : 82,415.03 = 49,157.54 : x
  2. Step 2: Convert to fraction form
    59,786.36/82,415.03 = 49,157.54/x
  3. Step 3: Cross multiply
    59,786.36x = 82,415.03 × 49,157.54
  4. Step 4: Simplify right side
    59,786.36x = 4,051,320,133.83
  5. Step 5: Solve for x
    x = 4,051,320,133.83/59,786.36
  6. Step 6: Final answer
    x = 67,763.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.