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Finding the Fourth Proportional to 81,954.44, 122,868.89 and 25,762.04

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Solution

The fourth proportional to 81,954.44, 122,868.89 and 25,762.04 is: 38,623.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,954.44 : 122,868.89 = 25,762.04 : x
  2. Step 2: Convert to fraction form
    81,954.44/122,868.89 = 25,762.04/x
  3. Step 3: Cross multiply
    81,954.44x = 122,868.89 × 25,762.04
  4. Step 4: Simplify right side
    81,954.44x = 3,165,353,130.13
  5. Step 5: Solve for x
    x = 3,165,353,130.13/81,954.44
  6. Step 6: Final answer
    x = 38,623.33

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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.