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Finding the Fourth Proportional to 72,110.64, 108,165.94 and 27,758.28

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Solution

The fourth proportional to 72,110.64, 108,165.94 and 27,758.28 is: 41,637.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,110.64 : 108,165.94 = 27,758.28 : x
  2. Step 2: Convert to fraction form
    72,110.64/108,165.94 = 27,758.28/x
  3. Step 3: Cross multiply
    72,110.64x = 108,165.94 × 27,758.28
  4. Step 4: Simplify right side
    72,110.64x = 3,002,500,448.98
  5. Step 5: Solve for x
    x = 3,002,500,448.98/72,110.64
  6. Step 6: Final answer
    x = 41,637.41

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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.